SOLUTION: Pythagorean theorem. Solve for x and the line value. 14^2= 3x^2 - x^2

SOLUTION: Pythagorean theorem. Solve for x and the line value. 14^2= 3x^2 - x^2

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Question 1038050: Pythagorean theorem. Solve for x and the line value. 14^2= 3x^2 - x^2
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
196=2x^2
98=x^2, dividing by 2.
x=7 sqrt (2), because sqrt (98)=sqrt(49)*sqrt(2)
Because there is subtraction here, one leg is 14, another 7 sqrt (2), and the hypotenuse is 7 sqrt(6), because sqrt (3x^2)=x*sqrt(3)
The squares are 196, 98, and they add to 49*6=294
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