Question

What's the length of one leg of a right triangle if the length of the other leg is 24 units and the length of the hypotenuse is 25 units

A. 24.45 units
B. 23.47 units
C. 8 units
D. 7 units
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Answer 1

D. 7 units

Explanation:

Use the Pyhagorean theorem:

`leg^2+leg^2=hypotenuse^2`

We have

`leg=24,\ hypotenuse=25`

Let's mark the other leg as x.

Substitute:

`24^2+x^2=25^2`

`576+x^2=625` subtract 576 from both sides

`x^2=49\to x=√(49)\\\\x=7`