a right triangle has a hypotenuse of 58 cm, with legs that differ by 2 cm. find the length of each leg

Mathematics

1 answer:

nika2105 [10]3 years ago

7 0

Answer:

40 cm and 42 cm

Step-by-step explanation:

Two leg length: x and x+2

x² + (x+2)² = 58²

2x² + 4x + 4 = 3364

2x² + 4x - 3360 = 0

(x+42) (x-40) = 0

leg length is a positive number so x = 40

another leg = 42

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