Question #13, how to solve for the value of x in the triangle? Whoever answers right will receive brainliest.
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Answer:x=8 or x=-4
Step-by-step explanation:
x²+(x+7)² = (x+9)²
x²+(x+7)(x+7) = (x+9)(x+9)
x²+x²+7x+7x+49 = x²+9x+9x+81
2x²+14x+14x+49 = x²+18x+81
2x²-x²+14x-18x = 81-49
x²-4x = 32
(x²-4x)-32 = 0
(x+2x)(x-2x)-32 = 0
x²+2x²-2x²-4x-32 = 0
x²-4x-32 = 0
(x-8)(x+4) = 0
(x-8) = 0 or (x+4) =0
x = 8 or x = -4