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 their areas?

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 their areas?

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 their areas?

Similarity of Triangles – Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.
Area Ratio of Similar Triangles – The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding side lengths.

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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