Question

What is the length of the unknown leg in the right triangle?

Answer 1

Answer:

3

Step-by-step explanation:

The Pythagorean Theorem can be used to determine an unknown side of a right triangle when two sides are known.

It states that a^2+b^2=c^2.

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

If you're unclear on this, you can draw a diagram to help you visualize it.

Hence, we can plug the given information into this formula.

a^2+8^2=(√73)^2

Simplify.

a^2+64=73

Subtract 64 from both sides.

a^2+64-64=73-64

a^2=9

Find the square root of both sides.

a=3

The length of the unknown leg in the right triangle is 3 units.