Question

△ABC∼△DEF , △ABC has a height of 20 inches, and △DEF has a height of 24 inches. What is the ratio of the area of △ABC to the area of △DEF ? Enter your answer, in simplest form, in the boxes.

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Answer 1

The ratio of the areas would be 25:36.

The ratio of the sides of the triangles is given by comparing the heights:

20:24, which simplifies to 5:6.

The ratio of the areas will be the square of the ratio of the sides, since area is a square measurement:

(5/6)² = 5²/6² = 25/36