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A right triangle has a hypotenuse of 8 feet. One leg has a length of 5 feet. How long is the other leg?
A. 5 ft.
B. V39 ft
C. V89 ft
D. 13 ft.

Sagot :

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Answer:

B

Step-by-step explanation:

The formula a^2 + b^2 = c^2 can be used to find any of the legs of the triangle. a and b are legs of the triangle and c is the hypotenuse. We can substitute known values into the equation:

a^2 + b^2 = c^2

One leg is 5 so we can put that in as a. And c, the hypotenuse, is 8.

5^2 + b^2 = 8^2

Now solve for b.

First, square 5 and 8

25 + b^2 = 64

Subtract 25 from both sides

b^2 = 39

Take the square root of both sides

b = √39

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