An isosceles right triangle has a hypotenuse of x√6 units. What is the area of the triangle?

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Accepted Answer

The hypotenuse of an isosceles right triangle is √2 times the length of a base of the triangle. Therefore, a base of this triangle measures x√6 ⁄ √2 = x√3 units. The length of one base of the isosceles right triangle is its height, so the area of the triangle is 1 ⁄ 2 (x√3)(x√3) = 3 ⁄ 2 x 2 square units.

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