Mathematics, 07.01.2020 04:31 faithburleson13
The hypotenuse of a right triangle is 52 in. one leg of the triangle is 8 in. more than twice the length of the other. what is the perimeter of the triangle?
Answers: 1
![52^2=x^2+(2x+8)^2\\\\\Rightarrow\ 2704=x^2+4x^2+32x+64\\\\\Rightarrow\ 2704=5x^2+32x+64\\\\\Rightarrow\5x^2+32x-2640=0\\\\\Rightarrow\ (x-20)(5x+132)\\\\\Rightarrow\ x=20\ or\ x=\dfrac{-132}{5}\ \ \ \text{[side cannot be negative]}\\\\\Rightarrow\ x=20](/tpl/images/0445/1782/bc688.png)
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