Asked by Anita
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.
Answers
Answered by
Bosnian
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
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
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