https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/the-pythagorean-theorem 2023-05-23T10:21:00.469536483Z Intro to the Pythagorean theorem The Pythagorean theorem is a cornerstone of math that helps us find the missing side length of a right triangle. In a right triangle with sides A, B, and hypotenuse C, the theorem states that A² + B² = C². The hypotenuse is the longest side, opposite the right angle. Sal Khan video https://cdn.kastatic.org/googleusercontent/zm9lxg5aZkInLh29lDFE0ccgsSaxlQuzX0ogkP6IbAwcTeapeXzOpPLaFNmpA6WAoS_PhTCuQDrDMou_Wqr5Y4nf Intro to the Pythagorean theorem The Pythagorean theorem is a cornerstone of math that helps us find the missing side length of a right triangle. In a right triangle with sides A, B, and hypotenuse C, the theorem states that A² + B² = C². The hypotenuse is the longest side, opposite the right angle. https://cdn.kastatic.org/ka-youtube-converted/AA6RfgP-AHU.mp4/AA6RfgP-AHU.mp4 646 Teorema de Pitágoras https://www.khanacademy.org/math/mat-8-basico/xa57ac2b818fb4fec:geometria/xa57ac2b818fb4fec:teorema-de-pitagoras/v/introduction-to-the-pythagorean-theorem 2021-02-16T16:08:14Z Introduction to the Pythagorean theorem Right triangles and the Pythagorean Theorem Sal Khan video https://cdn.kastatic.org/googleusercontent/Sep6AeWvzqRrVTCMJKE2V2sIL5hV-ylfIyzJbHBVY6XUhGp6MsHStpA8tYfasLyVYySvzq55e7j9dJeuwNwRKhKEaw Introduction to the Pythagorean theorem Right triangles and the Pythagorean Theorem https://cdn.kastatic.org/ka-youtube-converted/s9t7rNhaBp8.mp4/s9t7rNhaBp8.mp4 514 Teorema de Pitágoras https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/a/pythagorean-theorem-intro 2026-03-05T15:00:48.060394873Z Pythagorean theorem intro problems Practice using the Pythagorean theorem to solve for missing side lengths on right triangles.  Each question is slightly more challenging than the previous. article https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/pythagorean-theorem-2 2023-05-23T10:21:00.469536483Z Pythagorean theorem example The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (the hypotenuse). We can apply the theorem to find the missing side length of a right triangle, even when the missing length is one of the shorter sides. Sal Khan video https://cdn.kastatic.org/googleusercontent/XK32AoBZRozQUpZpJZzO8wJ8dubmK4CBTp2rLWlJZZ1yp0lA38Fb8jbNDKgET_aGDhKN3AP6t7rikDHupKmPUbY Pythagorean theorem example The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (the hypotenuse). We can apply the theorem to find the missing side length of a right triangle, even when the missing length is one of the shorter sides. https://cdn.kastatic.org/ka-youtube-converted/O64YFlX1_aI.mp4/O64YFlX1_aI.mp4 257 Teorema de Pitágoras https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/pythagorean_theorem_1 2026-03-10T06:50:36.944772689Z Use Pythagorean theorem to find right triangle side lengths Find the length of the hypotenuse or a leg of a right triangle using the Pythagorean theorem.   Ben Alpert exercise https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-pyth-theorem/v/pythagorean-theorem-with-right-triangle 2023-05-09T21:01:11.605979523Z Pythagorean theorem with isosceles triangle To find the value of a base (x) in an isosceles triangle, first split the triangle into two congruent right triangles by drawing an altitude. Then, use the Pythagorean theorem to create an equation involving x. Finally, solve the equation to find the unknown base, x. video https://cdn.kastatic.org/ka_thumbnails_cache/2c9f7c97-d91f-44cf-aca5-8f76cf54b1f8_1280_720_base.png Pythagorean theorem with isosceles triangle To find the value of a base (x) in an isosceles triangle, first split the triangle into two congruent right triangles by drawing an altitude. Then, use the Pythagorean theorem to create an equation involving x. Finally, solve the equation to find the unknown base, x. https://cdn.kastatic.org/ka-youtube-converted/TjOlZr_2uW4.mp4/TjOlZr_2uW4.mp4 228 Teorema de Pitágoras https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/use-pythagorean-theorem-to-find-side-lengths-on-isosceles-triangles 2025-03-03T19:47:54.930712342Z Use Pythagorean theorem to find isosceles triangle side lengths Find a missing side length on an acute isosceles triangle by using the Pythagorean theorem. Lindsay exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/right-triangle-side-lengths 2025-12-29T14:34:21.667121593Z Right triangle side lengths Use the Pythagorean theorem to determine if the given side lengths could form a right triangle. Lindsay exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/e/use-area-of-squares-to-visualize-pythagorean-theorem 2026-03-28T08:54:34.587533774Z Use area of squares to visualize Pythagorean theorem Visualize the Pythagorean theorem and its converse using the area of squares. Lindsay exercise https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-pythagorean-proofs/v/garfield-s-proof-of-the-pythagorean-theorem 2023-06-02T19:09:07.369858129Z Garfield's proof of the Pythagorean theorem Former U.S. President James Garfield wrote a proof of the Pythagorean theorem. He used a trapezoid made of two identical right triangles and half of a square to show that the sum of the squares of the two shorter sides equals the square of the longest side of a right triangle. Sal Khan video https://cdn.kastatic.org/googleusercontent/hSZwrP3Z7hxIF6yfX9D-23bUdmY28ItGCjs4IEkQOcwInL5Ge4rUFndUMCsbCJF7FYiTJUIa97I7uzlq9fTSyopR Garfield's proof of the Pythagorean theorem Former U.S. President James Garfield wrote a proof of the Pythagorean theorem. He used a trapezoid made of two identical right triangles and half of a square to show that the sum of the squares of the two shorter sides equals the square of the longest side of a right triangle. https://cdn.kastatic.org/ka-youtube-converted/EINpkcphsPQ.mp4/EINpkcphsPQ.mp4 536 Teorema de Pitágoras https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/v/area-of-an-isosceles-triangle 2023-06-02T19:09:07.369858129Z Use Pythagorean theorem to find area of an isosceles triangle We can find the area of an isosceles triangle using the Pythagorean theorem. Once we recognize the triangle as isosceles, we divide it into congruent right triangles. Then we use the theorem to find the height. Last, we calculate the area with the formula: 1/2 × base × height. video https://cdn.kastatic.org/ka_thumbnails_cache/dd3db97f-cee5-4241-8a5e-9a5ff6d3c880_1280_720_base.png Use Pythagorean theorem to find area of an isosceles triangle We can find the area of an isosceles triangle using the Pythagorean theorem. Once we recognize the triangle as isosceles, we divide it into congruent right triangles. Then we use the theorem to find the height. Last, we calculate the area with the formula: 1/2 × base × height. https://cdn.kastatic.org/ka-youtube-converted/yZ4CbopnVBg.mp4/yZ4CbopnVBg.mp4 240 Teorema de Pitágoras https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/e/use-pythagorean-theorem-to-find-area-and-perimeter 2026-03-26T05:50:46.505911114Z Use Pythagorean theorem to find perimeter Find the perimeter of triangles and quadrilaterals by first using the Pythagorean Theorem to find missing side lengths. Lindsay exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/v/pythagorean-theorem-3 2023-06-02T19:09:07.369858129Z Pythagorean theorem word problem: carpet If we draw the diagonal on a rectangular carpet, then its length, width, and diagonal form a right triangle. Since we know the length and diagonal measurements, we can use the Pythagorean theorem to solve for the missing width of the carpet. Sal Khan video https://cdn.kastatic.org/googleusercontent/yu5zzccGvx1c9EkgqD5u-SX3Qt42CJ2BRnvfLfSYtExN8xzpTmsAD64vGZz5qoGjBvup3ST8TRsu258UWRd_mF0 Pythagorean theorem word problem: carpet If we draw the diagonal on a rectangular carpet, then its length, width, and diagonal form a right triangle. Since we know the length and diagonal measurements, we can use the Pythagorean theorem to solve for the missing width of the carpet. https://cdn.kastatic.org/ka-youtube-converted/T0IOrRETWhI.mp4/T0IOrRETWhI.mp4 180 Teorema de Pitágoras https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/e/use-pythagorean-theorem-to-find-area 2026-04-08T00:16:02.937952483Z Use Pythagorean theorem to find area Find the area of triangles and quadrilaterals by first using the Pythagorean Theorem to find missing side lengths. Lindsay exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/v/pythagorean-theorem-1 2023-06-02T19:09:07.369858129Z Pythagorean theorem word problem: fishing boat If we assume that the mast of a boat is at a right angle to the deck, then we can model the length of a rope stretched between the mast and deck as the hypotenuse of a right triangle. Then we can use the Pythagorean theorem to relate the lengths. Sal Khan video https://cdn.kastatic.org/googleusercontent/22gCRD837Vkb33-KqU1EhKn7rrhfmSAOggXycJrnLu-4ybDkIdPgF5UamYIBtD50PDrdaiCJkz0Qod7i2HU-JJX1nQ Pythagorean theorem word problem: fishing boat If we assume that the mast of a boat is at a right angle to the deck, then we can model the length of a rope stretched between the mast and deck as the hypotenuse of a right triangle. Then we can use the Pythagorean theorem to relate the lengths. https://cdn.kastatic.org/ka-youtube-converted/JVrkLIcA2qw.mp4/JVrkLIcA2qw.mp4 272 Teorema de Pitágoras https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/pythagorean-theorem-application/e/pythagorean-theorem-word-problems--basic 2026-03-31T14:59:02.026924717Z Pythagorean theorem word problems Use the Pythagorean theorem to solve word problems. Lindsay exercise https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-pyth-theorem/v/pythagoriean-theorem-in-3d 2023-05-09T21:01:11.605979523Z Pythagorean theorem in 3D Discover how to find the length of an edge in a 3D shape using the Pythagorean theorem! This fun math lesson explores right pyramids and rectangular prisms, guiding you through solving for unknown lengths by applying the theorem multiple times. video https://cdn.kastatic.org/googleusercontent/7k1M1EyXYGPKPHSaYArKFhjUd2VqktV6-S-sr0MIYbAGjyThfOSDyZ9Tag2u6hQAa29YY0KPAZvkAtvXR-4eUdR4BQ Pythagorean theorem in 3D Discover how to find the length of an edge in a 3D shape using the Pythagorean theorem! This fun math lesson explores right pyramids and rectangular prisms, guiding you through solving for unknown lengths by applying the theorem multiple times. https://cdn.kastatic.org/ka-youtube-converted/1UQ5IbihJNI.mp4/1UQ5IbihJNI.mp4 356 Teorema de Pitágoras https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-pyth-theorem/e/pythagorean-theorem-in-3d 2026-04-07T22:23:57.656416987Z Pythagorean theorem in 3D Apply the Pythagorean theorem to find lengths in prisms and pyramids. Rhonda Hughes exercise