A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 8 cm more than the shorter leg and the hypotenuse 16 cm more than the shorter leg. how long should the sides of the triangle be?

Question

Mathematics

Abigail Henson

24 August, 11:05

A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 8 cm more than the shorter leg and the hypotenuse 16 cm more than the shorter leg. how long should the sides of the triangle be?

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Answers (1)

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Lainey Lopez · Answer 1

Let x be the length of the shorter side. legs are x and x+8, hypotenuse it's x+16

x² + (x+8) ² = (x+16) ²

x²+x²+16x+64=x²+32x+256

2x²+16x+64=x²+32x+256

x²-16x-192=0

(x-24) (x+8) = 0

x = 24 or - 8. since length cannot be negative, 24 is the short side, 32 is the long side, and 40 is the hypotenuse