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An equilateral triangle is based on the side of a square of area 64 sq. cm and another on the diagonal of the same square. Find the ratio of their areas.
Asked by Topperlearning User | 03 Oct, 2017, 01:36: PM

We see that the side of the square = 8 cm

So the diagonal of the square =  cm

Since both are equilateral triangles, so they are equiangular, each of their angles is .

So the two triangles are similar.

Hence the ratio of their areas = ratio of squares of their corresponding sides.

Let A be the area of the equilateral triangle based on the side 8 cm.

Let A' be the area of the equilateral triangle based on the diagonal  cm.

Answered by | 03 Oct, 2017, 03:36: PM

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