Question

If the hypotenuse of an isosceles right triangle is 6√2, what is the length of each leg?

a)√2
b) 3√2
c) 6
d) 6√2
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Answer 1

The length of each leg of the isosceles right triangle is 6.

Step-by-step explanation:

An isosceles right triangle has two legs of equal length. Let's denote the length of each leg as 'x'. According to the given information, the length of the hypotenuse is 6√2. By applying the Pythagorean theorem, we can set up the equation: x^2 + x^2 = (6√2)^2. Simplifying this equation, we get: 2x^2 = 72. Dividing both sides by 2, we find: x^2 = 36. Taking the square root of both sides, we obtain: x = 6. Therefore, the length of each leg is 6.