SOLUTION: Hi im trying to work out the side of a triangle using pyhtagoras' theorem. The hypotenuse is 2x, the base is x and the height is 12 how do you get the solution. Thx

Question 271834: Hi im trying to work out the side of a triangle using pyhtagoras' theorem.
The hypotenuse is 2x, the base is x and the height is 12 how do you get the solution.
Thx
Answer by dabanfield(803) (Show Source): You can put this solution on YOUR website!
Hi im trying to work out the side of a triangle using pyhtagoras' theorem.
The hypotenuse is 2x, the base is x and the height is 12 how do you get the solution.
Thx
By the Pythagorean Theorem we have:
(2x)^2 = x^2 + 12^2
4x^2 = x^2 + 144
3x^2 = 144
x^2 = 48
x = sqrt(48)
x = sqrt(16*3)
x = sqrt(16)*sqrt(3)
x = 4*sqrt(3)
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