Question
Asked Nov 1, 2019
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In a right triangle, the hypotenuse is 4 inches less than 3 times the shorter leg. The longer leg is 4 inches longer than twice the shorter leg. Find the perimeter of the triangle.

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Expert Answer

Step 1

Step 2

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(3x-4)x +(2x+4) 9x2-24x 16 x2 +4x2 +16x +16 9x2-24x16-x2-4x2 -16x -16 = 0 4x2-40x 0 4x (х -10) -0 As shorter side cannot be 0, x= 10

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Step 3

Obtain the length of the hypotenu...

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3(10)-4 and 2(10)+4 30 4 and 20+4 26 and 24

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