Challenge Problem. The Pythagorean Theorem states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a? + b? = c?. Prove (in paragraph form) using the Pythagorean Theorem that if m is a real number, and m, m + 2, and m + 4 are the lengths of three sides of a right triangle, then m = 6. %3!
Challenge Problem. The Pythagorean Theorem states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a? + b? = c?. Prove (in paragraph form) using the Pythagorean Theorem that if m is a real number, and m, m + 2, and m + 4 are the lengths of three sides of a right triangle, then m = 6. %3!
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.CR: Review Exercises
Problem 42CR
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The Pythagorean Theorem states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2. Prove (in paragraph form) using the Pythagorean Theorem that if m is a real number, and m, m + 2, and m + 4 are the lengths of three sides of a right triangle, then m = 6.
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