ΔABC ~ΔDEF and their areas are respectively 100 cm² and 49 cm². If the altitude of ΔABC is 5 cm, find the corresponding altitude of ΔDEF.

Question

ΔABC ~ΔDEF and their areas are respectively 100 cm 2 and 49 cm 2 . If the altitude of ΔABC is 5 cm, find the corresponding altitude of ΔDEF.

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.

ΔABC ~ΔDEF and their areas are respectively 100 cm2 and 49 cm2. If the altitude of ΔABC is 5 cm, find the corresponding altitude of ΔDEF.