Multiple choice

If the square of the hypotenuse of an isosceles right triangle is $128 \ cm^2$. The length of each side is 8 cm.

  1. True

  2. False
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A Correct answer
Explanation

In an isosceles right triangle with sides a, a, and hypotenuse h, h^2 = a^2 + a^2 = 2a^2. Given h^2 = 128, 2a^2 = 128 -> a^2 = 64 -> a = 8.

AI explanation

According to the Pythagorean theorem for an isosceles right triangle, the square of the hypotenuse equals twice the square of a side, meaning 128 = 2 * (side)^2. Solving this gives the square of the side as 64, so the length of each side is 8 cm. The statement is true.

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