SOLUTION: A Isosceles right triangle has legs of equal length. If the hypotenuse is 6 inches long find each leg. A) 9sqrt(2) B)3/2sqrt (2) C)6sqrt(2) D)3sqrt(2) When I sol

Question 321269: A Isosceles right triangle has legs of equal length. If the hypotenuse is 6 inches long find each leg.

A) 9sqrt(2)
B)3/2sqrt (2)
C)6sqrt(2)
D)3sqrt(2)
When I solved it I got x = 3 inches.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
A^2+B^2=C^2
X^2+X^2=6^2
2X^2=36
X^2=36/2
X^2=36/2
X^2=18
X=SQRT18
X=SQRT9*2=3SQRT(2) ANS. D)
-------------------------------
X^2+X^2=(X+9)^2
2X^2=X^2+18X+81
2X^2-X^2-18X-81=0
X^2-18X-81X=0

x=(18+-sqrt-18^2-4*1*-81])/2*1
x=(18+-sqrt[324+324])/2
x=(18+-sqrt648)/2
x=(18+-25.456/2
X=(18+25.456)/2
X=43.456/2
X=21.728 ANS.
PROOF:
2*21.728^2=(21.728+9)^2
2*472.11=30.728^2
944.21=944.21
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