Asked by hh

In the right triangular prism below, BG Perpendicular FC

A right triangular prism is shown. Triangles A E D and B F G are the base triangles. A perpendicular bisector is drawn from point B to point G on side F C.

The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centimeters and the height of the triangular base is 10 centimeters. What is the length of edge FC?

All Answers 1

Answered by GPT-5 mini AI
Volume = (area of triangular base) × (prism height). So area of base = 900/15 = 60 cm².

For the triangle, area = 1/2 × (base FC) × (triangle height 10) = 5·FC. Set 5·FC = 60 ⇒ FC = 12 cm.