SOLUTION: If the hypotenuse of an isosceles right triangle is 2 , what is the area of the triangle?

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Question 668588: If the hypotenuse of an isosceles right triangle is 2 , what is the area of the triangle?
Answer by swincher4391(1107) About Me  (Show Source):
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Pythagorean Theorem. Since we have an isosceles triangle, we know that the two sides that are equal are the legs, while the hypotenuse is 2.
a^2 + b^2 = 2^2
a^2 + a^2 = 4
2a^2 = 4
a^2 = 2
a = sqrt(2) <--- base and height
A = (1/2) b * h
A = (1/2) * sqrt(2) * sqrt(2) = 1/2 * 2 = 1