The areas of two similar triangles are 81 cm 2 and 49 cm 2 respectively. If the altitude of the first triangle is 6.3 cm, find the corresponding altitude of the other.

Question

Philoid · Accepted Answer

Let the two triangles ABC and DEF have their altitudes 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 altitudes.

The areas of two similar triangles are 81 cm2 and 49 cm2 respectively. If the altitude of the first triangle is 6.3 cm, find the corresponding altitude of the other.

The areas of two similar triangles are 81 cm² and 49 cm² respectively. If the altitude of the first triangle is 6.3 cm, find the corresponding altitude of the other.