A hypotenuse of a right triangle is 52 in. One leg of the triangle is 8in. more than twice the length of the other. What is the perimeter of the triangle?

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asked Apr 6, 2018 217k views

2 Answers

Viesturs · Answer 1 · 2018-04-12T09:50:42+0000

c=52, a=2b+8

Pythagorean Theorem = a^2+b^2=c^2

(2b+8)^2+b^2=52^2

4b^2+32b+64+b^2=2704

5b^2+32b-2640=0

b=20

a= 2(20)+8 = 48

48+20+52 = 120