Question

margo draws a triangle. The lengths of the sides of he 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

Either of the following square values:

`8^(2) =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2`

Explanation:

The three possible answers correspond to the square of the sides of the triangles via the Pythagorean theorem. And these are:

`8^(2) =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2`