https://www.khanacademy.org/math/geometry-home/right-triangles-topic/special-right-triangles/v/45-45-90-triangles 2023-05-12T21:01:01.897246564Z Special right triangles intro (part 1) A 45-45-90 triangle is a special type of right triangle, where the ratio of the lengths of the sides of a 45-45-90 triangle is always 1:1:√2, meaning that if one leg is x units long, then the other leg is also x units long, and the hypotenuse is x√2 units long. Sal Khan video https://cdn.kastatic.org/googleusercontent/SBPUnFjSSvdka1RgDmNi0p59ZQtA4NH5yWRK8db9FuRrjMxB7XZNhHpH9mFCSvnyP9zo2C3n-zU23q7huLagxx8 Special right triangles intro (part 1) A 45-45-90 triangle is a special type of right triangle, where the ratio of the lengths of the sides of a 45-45-90 triangle is always 1:1:√2, meaning that if one leg is x units long, then the other leg is also x units long, and the hypotenuse is x√2 units long. https://cdn.kastatic.org/ka-youtube-converted/tSHitjFIjd8.mp4/tSHitjFIjd8.mp4 570 Special triangles https://www.khanacademy.org/math/geometry-home/right-triangles-topic/special-right-triangles/v/intro-to-30-60-90-triangles 2023-05-12T21:01:01.897246564Z Special right triangles intro (part 2) A 30-60-90 triangle is a special right triangle with angles of 30, 60, and 90 degrees. It has properties similar to the 45-45-90 triangle. The side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is the length of the short leg times the square root of three. Alternatively, the ratio of the sides is 1 : √3 : 2. Sal Khan video https://cdn.kastatic.org/googleusercontent/4zW0dP4es71plw0j7IvG2zH6YF0ZS4Bk8V6hZazoH3jbqT2p_1YB5SDP5XWp3qZkHUdAT2P95grM7v3c5KGec6s Special right triangles intro (part 2) A 30-60-90 triangle is a special right triangle with angles of 30, 60, and 90 degrees. It has properties similar to the 45-45-90 triangle. The side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is the length of the short leg times the square root of three. Alternatively, the ratio of the sides is 1 : √3 : 2. https://cdn.kastatic.org/ka-youtube-converted/Qwet4cIpnCM.mp4/Qwet4cIpnCM.mp4 579 Special triangles https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-right-triangles/v/30-60-90-triangle-example-problem 2021-03-30T19:55:56Z 30-60-90 triangle example problem Using what we know about 30-60-90 triangles to solve what at first seems to be a challenging problem Sal Khan video https://cdn.kastatic.org/googleusercontent/UaiP-JD6_uAgur8B076pwq4uGj1vDwaVMIDqNcAu68jkBzI7Z5OnGvknFgaKNZVuoDtt6QGLOHJxqhMxehjsMlWV 30-60-90 triangle example problem Using what we know about 30-60-90 triangles to solve what at first seems to be a challenging problem https://cdn.kastatic.org/ka-youtube-converted/dgHksfBFbjk.mp4/dgHksfBFbjk.mp4 400 Special triangles https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-right-triangles/a/special-right-triangles-review 2025-05-08T14:45:44.86785259Z Special right triangles review Learn shortcut ratios for the side lengths of two common right triangles: 45°-45°-90° and 30°-60°-90° triangles. The ratios come straight from the Pythagorean theorem. article https://www.khanacademy.org/math/geometry/hs-geo-trig/hs-geo-special-right-triangles/e/pythagorean_theorem_2 2025-12-30T07:05:15.972746521Z Special right triangles Use the Pythagorean theorem to discover patterns in 30°-60°-90° and 45°-45°-90° triangles. Ben Alpert exercise https://www.khanacademy.org/math/9th-grade-math-revised-k-to-10-3-terms/x1e64c39423990571:3rd-quarter/x1e64c39423990571:special-triangles/e/pythagoras-theorem-special-triangles 2026-04-07T23:55:07.30621384Z Pythagoras Theorem - Special Triangles Pythagoras Theorem - Special Triangles Ashish Gupta exercise