Both of the right triangular prisms shown have bases that are right triangles with hypotenuse length 10 cm. One prism has height x and a base leg of length 6 cm. The other prism has height (x - 2) cm and a base leg of length 8 cm. The prism with height (x - 2) cm has a volume that is 75% the volume of the prism of height x. What is the value of x, in centimeters?

Guest Jun 16, 2023