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

Answer:

D. 7 units

Step-by-step 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

$x^2=49\to x=\sqrt{49}\\\\x=7$