Date: Topic: The Pythagorean Theorem (9.2) Warm-up:Simplify the radicals. 1. 2. 3.

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Presentation transcript:

Date: Topic: The Pythagorean Theorem (9.2) Warm-up:Simplify the radicals

Right Triangles: -Right triangles have exactly one right (90°) angle. -The side opposite the right angle is called the hypotenuse. hypotenuse -The two sides that form the right angle are called legs. leg The Pythagorean Theorem: The sum of the squares of the legs of a right triangle are equal to the square of the hypotenuse. Mathematicians usually write this as: a c b

Find the missing side length x15

13 5 y Find y 12

Sonya jogs across a field that has a length of and a width of. How far did Sonya jog? 30 yds 40 yds x 50 yds Sonya jogged 50 yards. rectangulardiagonally 40 yards 30 yards Answer the question in a complete sentence:

We can also use the Pythagorean theorem to determine if a triangle is a right triangle. Determine if the following side lengths form a right triangle. 6, 7, 515, 8, 17 No, the side lengths do not form a right triangle. Yes, the side lengths form a right triangle.