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Warm-up: Get everything out of your folders!. x = 10 x = 4 x = 6. 7.1 Apply the Pythagorean Theorem. Use the Pythagorean Theorem to solve problems. 7.1 Pythagorean Theorem. If you have a right triangle, a 2 + b 2 = c 2. c. a. b. Example 2:.
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Warm-up: Get everything out of your folders! • x = 10 • x = 4 • x = 6
7.1 Apply the Pythagorean Theorem Use the Pythagorean Theorem to solve problems
7.1 Pythagorean Theorem • If you have a right triangle, a2 + b2 = c2 c a b
Example 2: • Randy made a ramp for his dog to get into his truck. The ramp is 6 ft long and the bed of the truck is 3 ft above the ground. Approximately how far from the back of the truck does the ramp touch the ground? • 3ft • 4 ft • 5.2 ft • 6.7 ft
Example 3 • Find the area of isosceles triangle with side lengths 20 in, 20 in and 24 in.
Pythagorean Triples • Is a set of 3 positive integers a, b, and c that satisfy the equation a2 + b2 = c2 . • Open your book to page 435 to view a list of the Pythagorean triples.
Example 4 • Find the length of they hypotenuse of the right triangle. 21 72 x
Homework • Pg. 436—439 • (1, 4, 6, 10, ,12, 14 – 16, 31)