If two triangles are similar, and the lengths of the sides of the first triangle

What’s inside this PDF?

Question: If two triangles are similar, and the lengths of the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the lengths of the corresponding sides of the second triangle if the ratio of similarity is 2:1?

Options:

6 cm, 8 cm, 10 cm
3 cm, 4 cm, 5 cm
1.5 cm, 2 cm, 2.5 cm
4 cm, 5 cm, 6 cm

Correct Answer: 6 cm, 8 cm, 10 cm

Solution:

If the ratio is 2:1, then the sides of the second triangle are 3*2, 4*2, and 5*2, which gives 6 cm, 8 cm, and 10 cm.

Practice Questions

Q1

If two triangles are similar, and the lengths of the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the lengths of the corresponding sides of the second triangle if the ratio of similarity is 2:1?

6 cm, 8 cm, 10 cm
3 cm, 4 cm, 5 cm
1.5 cm, 2 cm, 2.5 cm
4 cm, 5 cm, 6 cm

Questions & Step-by-Step Solutions

If two triangles are similar, and the lengths of the sides of the first triangle are 3 cm, 4 cm, and 5 cm, what are the lengths of the corresponding sides of the second triangle if the ratio of similarity is 2:1?

Similarity of Triangles – Understanding that similar triangles have corresponding sides in proportion.
Ratio and Proportion – Applying the ratio of similarity to find the lengths of corresponding sides.

If two triangles are similar, and the lengths of the sides of the first triangle

What’s inside this PDF?

If two triangles are similar, and the lengths of the sides of the first triangle

Practice Questions

Questions & Step-by-Step Solutions

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