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

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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 sides of the second triangle if the shortest side is 6 cm?

Options:

6 cm, 8 cm, 10 cm
6 cm, 9 cm, 12 cm
6 cm, 7 cm, 8 cm
6 cm, 10 cm, 12 cm

Correct Answer: 6 cm, 8 cm, 10 cm

Solution:

The ratio of the sides is 6/3 = 2. Therefore, the other sides are 4*2 = 8 cm and 5*2 = 10 cm.

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

Practice Questions

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 sides of the second triangle if the shortest side is 6 cm?

6 cm, 8 cm, 10 cm
6 cm, 9 cm, 12 cm
6 cm, 7 cm, 8 cm
6 cm, 10 cm, 12 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 sides of the second triangle if the shortest side is 6 cm?

Similarity of Triangles – Understanding that similar triangles have proportional sides.
Ratio and Proportion – Applying the concept of ratios to find unknown side lengths based on a known side.

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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