Question

Two triangular roofs are similar. The ratio of the corresponding sides of these roofs is 2:3. If the altitude of the bigger roof is 6.5 feet, find the corresponding altitude of the smaller roof. Round to the nearest tenth.

Answer 1

When two triangles are similar, this means that their corresponding sides have equal ratios. In this example, the ratio 2:3 is kept constant. By using ratioand proportion,we could find the altitude of the smaller roof, denoted as x, by

2/3 = x/6.5
x = 4.33 feet