Question

This model represents the design of a bridge truss composed of congruent triangles. The area of the large triangle is . What is the area, in square units, of one of the small triangles for the actual bridge if the scale factor is 150?

1. 4
2. 112,500
3. 856
4. 10,000

Answer 1

2. 112,500

Explanation:

Large triangle: 20

Small triangle: 20/4 = 5

Ratio of areas = (Ratio of sides)²

= 150²

Area = 5 × 150²

= 112,500