Question

Both triangles are similar. The area of the smaller triangle is about 270 ft^2. What is the best approximation for the larger triangle?

Answer 1

Ratio of the sizes of the smaller triangle to the sizes of the bigger triangle is 15 : 35 = 3 : 7 = 1 : 7/3

Area of triangle = 1/2bh
Ratio of the area of the smaller triangle to the area of the bigger trfiangle is 1/2bh : 1/2(7/3b)(7/3h)
1/2bh : 49/9(1/2bh)
270ft^2 : 49/9(270ft^2)

The best approximation of the area of the larger triangle is 1,470 ft^2