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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?

Respuesta :

musiclover10045

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


sprklz155

Answer:

120 in.

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

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