Question

what is the value of the variable in the given figure in simplest form

Answer 1

Use the pythagorean theorem

Answer 2

I don't know how to use the Pythagorean theorem can someone shoe me how to get started

Answer 3

The Pythagorean theorem relates to the right triangle. A right triangle will have a 90 degree (right) angle as one of its angles. The side opposite this right angle is called the hypotenuse and is the longest side of the triangle.
Theorem is stated as"\[a ^{2}+b ^{2}=c ^{2}\]

Answer 4

in word speak The hypotenuse squares is equal to the sum of the square of each leg.

Answer 5

Now solve the problem

Answer 6

okay I got 6^2 = 36 and 12^2 = 144 so I added them and got 180. so would I do 180 ^2? if so its 324000

Answer 7

No the sum of 180 is the hypotenuse squared, you need to take the square root of 180. But you are not trying to find the hypotenuse. you alread have it and it is 12.

You need to subsstitute the values into the theorem
\[6^{2}+ x ^{2}=12^{2}\]Now solve for x

Answer 8

Start by subtracting \[6^{2}\] from both sides of the equal sign.

Answer 9

im lost but thank you for your time best response