Nested Triangles

Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.

A line segment parallel to the second-smallest side of a right triangle bisects the smallest side, forming a smaller triangle within the original one. What is the area of the smaller triangle?

(1) The area of the larger triangle is 48.

(2) The length of the line segment is 12.