Question

Margo draws a triangle. The lengths of the sides of the triangle are 8 inches, 15 inches, and 17 inches. Margo uses the area of three squares

to show that the triangle is a right triangle. Which of these could be the area, in square units, of a square that Margo uses?

Answer 1

From the given options 64 units are the area of the square that Margo used. So, option D is correct.

SOLUTION:

Given, Margo draws a triangle. The lengths of the sides of the triangle are

Margo uses the area of 3 squares to show that the triangle is a right triangle. We have to find the area, in square units, of a square that Margo uses. Now, we know that we can prove a triangle as right angled triangle using Pythagoras' theorem

Assume that the above theorem is the equation of the area of one square = sum area of two squares. Then, using the area of three squares we can prove that a triangle is a right-angle triangle.

Now, areas of the three squares will be