Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar? Why?

Given:

Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle.

To do:

We have to find whether the two triangles are similar.

Solution:

Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle.

This implies,

If the corresponding two sides and the perimeters of two triangles are proportional, then the third sides of both triangles will also be in proportion.

Therefore,

The two triangles are similar.

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Updated on: 10-Oct-2022

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