Question

What is the value of x?

Answer 1

$\bold{ANSWER:}$
x = 21
$\bold{EXPLANATIONS:}$

Answer 2

Answer:

x = 21

Step-by-step explanation:

We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.

Pythagorean Theorem : a^2+b^2=c^2

But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.

20^2 + b^2 = 29^2

400 + b^2 = 841

Subtract 400 from both sides to get b^2 alone

-400            -400

b^2 = 441

Square root of each side to get b by itself

b = 21

This means the missing side is 21. Also meaning 21 is x.

x = 21