The ratio of the corresponding sides of two similar triangles are 2:5.Calculate the area of the larger triangle if the area of the smaller triangle is 28 square.

Answer 1

As = Area of the smaller triangle = 28 square

Al = Area of the larger triangle

In two similar triangles, the ratio of their areas is the square of the ratio of their sides.

As = Al * ( 2 / 5 ) ^ 2

As = Al * 4 / 25

As = 4 Al / 25 Multiply both sides by 25

25 As = 4 Al Divide both sides by 4

25 As / 4 = Al

Al = 25 As / 4

Al = 25 * 28 / 4 = 700 / 4 = 175 square