SOLUTION: If an isosceles triangle has angles of 45, 45, and 90 degrees, with one side 13 feet, what is the area?

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Question 1118688: If an isosceles triangle has angles of 45, 45, and 90 degrees, with one side 13 feet, what is the area?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If an isosceles triangle has angles of 45, 45, and 90 degrees, with one side 13 feet, what is the area?
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Is 13 ft the hypotenuse?
Or 2 of the sides?
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Area = b*h/2

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
WHICH SIDE?


There are two choices.

The two equal legs are each 13 feet, and the triangle's area is %281%2F2%29%2A13%2A13=169%2F2

OR

The long side, hypotenuse, is 13 feet, making each congruent leg 13%2Asqrt%282%29%2F2; and then the triangle's area is %281%2F2%29%2813sqrt%282%29%2F2%29%2813sqrt%282%29%2F2%29=highlight_green%28169%2F4%29.
If your description intends to mean, one and only one side is 13 feet, then this one is the area you want.