SOLUTION: The hypotenuse of an isosceles triangle measurse 15 feet. Find the area.

Question 228144: The hypotenuse of an isosceles triangle measurse 15 feet. Find the area.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The hypotenuse of an isosceles triangle measures 15 feet. Find the area.
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Draw the picture of a right triangle with equal legs.
Label each leg as "x".
Equation:
x^2 + x^2 = 15^2
2x^2 = 15^2
x^2 = 15^2/2
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x = 15/sqrt2
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Area = (1/2)base*height
A = (1/2)[15/sqrt(2)][(15/sqrt(2)]
A = (1/2)15^2/2
Area = 15^2/4 sq ft.
Area = 225/4 sq ft.
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Cheers,
Stan H.
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