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Right triangles & trigonometry

Pythagorean theorem

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Intro to the Pythagorean theorem
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Intro to the Pythagorean theorem 2
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Pythagorean theorem word problem: fishing boat
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Pythagorean theorem example
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Pythagorean theorem word problem: carpet
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Introduction to the Pythagorean theorem
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Pythagorean theorem II
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Practice
Use Pythagorean theorem to find right triangle side lengthsGet 5 of 7 questions to level up!
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Pythagorean theorem challengeGet 3 of 4 questions to level up!
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Pythagorean theorem proofs

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Garfield's proof of the Pythagorean theorem
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Bhaskara's proof of the Pythagorean theorem
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Pythagorean theorem proof using similarity
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Another Pythagorean theorem proof
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Special right triangles

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Special right triangles intro (part 1)
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Special right triangles intro (part 2)
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30-60-90 triangle example problem
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Special right triangles proof (part 1)
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Special right triangles proof (part 2)
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Area of a regular hexagon
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Special right triangles review
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Practice
Special right trianglesGet 5 of 7 questions to level up!
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Quiz 1

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Introduction to the trigonometric ratios

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Hypotenuse, opposite, and adjacent
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Intro to the trigonometric ratios
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Trigonometric ratios in right triangles
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Trigonometric ratios in right triangles
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Practice
Trigonometric ratios in right trianglesGet 3 of 4 questions to level up!
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Solving for a side in a right triangle using the trigonometric ratios

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Solving for a side in right triangles with trigonometry
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Solving for a side in right triangles with trigonometry
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Practice
Solve for a side in right trianglesGet 3 of 4 questions to level up!
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Solving for an angle in a right triangle using the trigonometric ratios

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Intro to inverse trig functions
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Practice
Solve for an angle in right trianglesGet 3 of 4 questions to level up!
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Modeling with right triangles

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Right triangle word problem
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Angles of elevation and depression
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Right triangle trigonometry review
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Practice
Right triangle word problemsGet 3 of 4 questions to level up!
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Quiz 2

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Trigonometric ratios & similarity

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Triangle similarity & the trigonometric ratios
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Trig challenge problem: verify identities
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Trig challenge problem: trig values & side ratios
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Sine & cosine of complementary angles

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Sine & cosine of complementary angles
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Using complementary angles
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Trig word problem: complementary angles
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Unit test

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About this unit

Triangles are not always right (although they are never wrong), but when they are it opens up an exciting world of possibilities. Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry.