An isosceles right triangle and a square have the same area. if the length of the hypotenuse of the right triangle is 6 √ 2, what is the area of the square? f) 12 g) 12+6 √ 2 h) 18 j) 24+6 √ 2 k) 36

Isosceles right triangles are a special right triangle because it follows the 45-45-90 rule. If one leg was x, then the other leg was also x and the hypotenuse was x√2.

Using that information, we can confirm that the legs of the triangle are 2 since 6√2 divided by √2 is 6.

Now that we have the legs of the triangle, we can use the formula for the area of the triangle to solve: (remember that area = (bh)/2)

Firstly, multiply the numerator:

Next, divide, and your answer will be A = 18. Since the square and the right triangle have the same area, your answer is 18, or h.

d. is the correct answer

step-by-step explanation: