Question

ABCD is a rectangle. What is the value of X?

Answer 1

33

Explanation:

We need to use the Pythagorean Theorem.

65 is the length for the hypotenuse.

So we do a^2+b^2=c^2 where a and b are legs and c is the hypotenuse.

x^2+56^2=65^2

x^2+3136=4225

Subtract 3136 on both sides

x^2 =1089

Square root both sides

x=33

The answer is 33 meters.

Answer 2

x = 33 m

Explanation:

Use the Pythagorean theorem:

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

We have

`leg=56\ m,\ hypotenuse=65\ m,\ leg=x\ m`

Substitute:

`56^2+x^2=65^2`

`3136+x^2=4225` subtract 3136 from both sides

`x^2=1089\to x=√(1089)\\\\x=33\ m`