SOLUTION: Find length x in each triangle. Express your answer in simplified radical form. Hypotenuse is 12 Leg a is 8 Leg b is x I came up with x=8.94427 but that is not in simpli

Question 78384: Find length x in each triangle. Express your answer in simplified radical form.

Hypotenuse is 12
Leg a is 8
Leg b is x
I came up with x=8.94427 but that is not in simplified radical form is it?
Answer by dolly(163) (Show Source): You can put this solution on YOUR website!
Here hypotenuse = 12
one leg = 8
the other leg = sqrt(12^2 - 8^2) [by Pythagorean theorem]
= sqrt(144 - 64)
= sqrt(80)
= sqrt(16*5)
= sqrt(16) * sqrt(5)
= 4 * sqrt(5)
Thus leg b = 4sqrt(5)which is in simplified radical form.
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