Question

A rectangle is to be inscribed in a 6-8-10 right triangle so that...

A. One side is 4 cm
B. One side is 6 cm
C. One side is 8 cm
D. One side is 10 cm

Answer 1

To inscribe a rectangle in a 6-8-10 right triangle, options B and C are correct.

Step-by-step explanation:

To inscribe a rectangle in a 6-8-10 right triangle, we need to find the side of the rectangle that matches the length of one side of the triangle. Let's consider each option:

If one side of the rectangle is 4 cm, it cannot be inscribed in the 6-8-10 triangle because none of the sides of the triangle have a length of 4 cm.

If one side of the rectangle is 6 cm, it can be inscribed in the triangle by matching it with the 8 cm side of the triangle.

If one side of the rectangle is 8 cm, it can be inscribed in the triangle by matching it with the 6 cm side of the triangle.

If one side of the rectangle is 10 cm, it cannot be inscribed in the 6-8-10 triangle because none of the sides of the triangle have a length of 10 cm.

Therefore, options B and C are correct.