SOLUTION: Find the missing side of the triangle. Give your answer as a simplified radical. "5^2+b^2=10^2"

Question 84072: Find the missing side of the triangle. Give your answer as a simplified radical.
"5^2+b^2=10^2"
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since we have a triangle with legs of 5 , x(our unknown side) and a hypotenuse of 10, we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem

Plug in a=5 and c=10 and lets solve for b
Square each individual term

Subtract 25 from both sides

Combine like terms

Take the square root of both sides

Simplify

Factor 75 into 25*3

Break up the square roots using the identity

Take the square root of the perfect square 25 to get 5

So our answer is

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