SOLUTION: I just want to make sure I have the right answer, if I don't could you please explain the steps to me. Problem---You are given a right triangle with the following lengths. Leg 1

Question 143529: I just want to make sure I have the right answer, if I don't could you please explain the steps to me.
Problem---You are given a right triangle with the following lengths. Leg 1 = 2, Leg 2 = x, Hypotenuse = 8. Use the Pythagorean Theorem to find x. Make sure you include an equation.
Here is my answer
c^2 - a^2 = b^2
8^2 - 2^2 =
sqrt64 - sqrt4 =
sqrt60 =
Sqrt4 X 15 =
2 sqrt15 = X
Answer is 2 sqrt15 = x

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We basically have this triangle set up:

Since we can see that the triangle has legs of 2 and x with a hypotenuse of 8, we can use Pythagoreans theorem to find the unknown side.

Pythagoreans theorem:

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

Plug in a=2, b=x, and c=8. Now lets solve for x

Square each individual term

Subtract 4 from both sides

Combine like terms

Take the square root of both sides

Simplify the square root

So you are correct
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