One of the legs of a right triangle is three times as long as the other leg. If the hypotenuse is 120 inches, how long are the legs of the triangle to the nearest hundredth of an inch.

Question

Sanaa

Mathematics

6 November, 14:57

One of the legs of a right triangle is three times as long as the other leg. If the hypotenuse is 120 inches, how long are the legs of the triangle to the nearest hundredth of an inch.

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Answers (1)

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Deon Cunningham · Answer 1

60, 180, 120

Step-by-step explanation:

a^2 + b^2 = c^2

x^2 + 3x^2 = 120^2

4x^2=14400

x^2 = 3600

square root of x^2 = square root of 3600

x = 60