If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE a

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Question: If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 6 cm and 9 cm respectively, what is the ratio of the areas of the triangles?

Options:

Correct Answer: 4:9

Solution:

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. (6/9)² = (2/3)² = 4/9.

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE a

Practice Questions

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 6 cm and 9 cm respectively, what is the ratio of the areas of the triangles?

Questions & Step-by-Step Solutions

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 6 cm and 9 cm respectively, what is the ratio of the areas of the triangles?

Similarity of Triangles – Understanding that similar triangles have proportional sides and that the ratio of their areas is the square of the ratio of their corresponding sides.
Area Ratio Calculation – Calculating the area ratio using the formula that the area ratio is the square of the side length ratio.

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE a

What’s inside this PDF?

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE a

Practice Questions

Questions & Step-by-Step Solutions

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