Question

The areas of two similar triangles are 75m^2 and 300m^2. The length of one of the sides of second triangle is 9 m. What is the length of the corresponding side in the first triangle?

Answer 1

The corresponding length of the side in the first triangle is 4.5 m.

How to solve for the length

This would be

Area of small triangle / area of larger triangle = k²

k²= 75/300

= 0.25

Hence k = 0.5

Then the length of the corresponding side would be

9m x 0.5

Length = 4m

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