Pythagorean Theorem and Special Right Triangles. Anatomy of a Right Triangle Why is a right triangle called a right triangle? Because it is a triangle.

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Presentation transcript:

Pythagorean Theorem and Special Right Triangles

Anatomy of a Right Triangle Why is a right triangle called a right triangle? Because it is a triangle with a right angle. Where is this right angle located? Across from the hypotenuse (longest side). The other sides of the triangle are called “legs” (shorter sides) What’s the sum of al the angles in a triangle? 180° Hypotenuse Leg 2 Leg 1

Pythagorean Theorem Hypotenuse Leg 2 Leg 1 c b a

Example 1: Find the missing side x 8 6

You Try 1: Find the missing side 9 x 4

Cool Proof of Pythagorean Theorem

Special Right Triangles There are special right triangles where the side lengths share a special relationship. We will be exploring: 45°-45°-90° 30°-60°-90°

45°-45°-90° x x 45°

Example 2: Find the missing sides x 5 y 45°

You Try 2: x y 45°

30°-60°-90° 2x x 30° 60°

Example 3: y x 30° 60°

You Try 3: x y 9 30° 60°

You try 4: x 24 y 60° 30°

Homework Worksheet #30