Question

One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg? A. about 7 units B. about 15 units C. about 25 units D. about 122 units E. about 224 units

Answer 1

About 7 units

Explanation:

Since it is a right triangle we apply Pythagoras theorem

`a {}^(2) + b {}^(2) = c {}^(2)`

a= square root(144 - 100)

a = about 7

Answer 2

A

Explanation:

We can use the Pythagorean Theorem:

`a^2+b^2=c^2`, where a and b are the two legs and c is the hypotenuse.

Plug in what we know:

`(10)^2+b^2=(12)^2`

`100+b^2=144`

`b^2=44`

`b=√(44)\approx 6.63\approx7`