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# Will the lengths of two corresponding altitudes of similar triangles will have the same ratio as any pair of corresponding sides?

Wiki User

2010-12-21 02:52:04

It is given that two triangles are similar. So that the ratio of their corresponding sides are equal.

If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.

Wiki User

2010-12-21 02:52:04
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