The areas of two similar triangles are 100 cm² and 64 cm² respectively. If a median of the smaller triangle is 5.6 cm, find the corresponding median of the other.

Question

The areas of two similar triangles are 100 cm 2 and 64 cm 2 respectively. If a median of the smaller triangle is 5.6 cm, find the corresponding median of the other.

Philoid · Accepted Answer

Let the two triangles ABC and DEF have their medians as AS and DT.

We know that if two triangles are similar then the ratio of their areas is equal to the ratio of the squares of their corresponding medians.

The areas of two similar triangles are 100 cm2 and 64 cm2 respectively. If a median of the smaller triangle is 5.6 cm, find the corresponding median of the other.

The areas of two similar triangles are 100 cm² and 64 cm² respectively. If a median of the smaller triangle is 5.6 cm, find the corresponding median of the other.