Question

The hypotenuse of a right triangle is 26 mm. One leg of the right triangle is 10 mm. What is the length of the other leg? (4 points) Group of answer choices 18 mm 20 mm 24 mm 28 mm

Answer 1

Answer:

24 mm

Step-by-step explanation:

Since it is a right triangle, we can use Pythagorean theorem

$a^2+b^2=c^2$

where a and b are the legs, and c is the hypotenuse.

We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.

$10^2+b^2=26^2$

Solve the exponents

$100+b^2=676$

Now, solve for b. To do this, get b by itself.

First, subtract 100 from both sides

$100-100+b^2=676-100$

$b^2=576$

Take the square root of both sides

$\sqrt{b^2}=\sqrt{576}$

b=24

So, the other leg is 24 mm