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LuckyWell [14K]
3 years ago
12

The length of the longer leg of a right triangle is 22 ft more than six times the length of the shorter leg. The length of the h

ypotenuse is 23 ft more than six times the length of the shorter leg. Find the side lengths of the triangle.
Mathematics
1 answer:
Gala2k [10]3 years ago
8 0
Let x be the shorter leg, then the longer is 6x+22 and the hypotenuse is 6x+23.
x² + (6x+22)² = (6x+23)²
x² + 36x² + 264x + 484 = 36x² + 276x + 529
x² - 12x - 45 = 0
(x+3)(x-15)=0
x=-3 or 15. since you can't have negative length discard-3, then the sides are 15, 112, and 113
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