Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm,

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Question: Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm, 4 cm, and 5 cm, what is the length of the longest side of triangle XYZ if its shortest side is 6 cm?

Options:

8 cm
9 cm
10 cm
12 cm

Correct Answer: 10 cm

Solution:

The ratio of the sides of similar triangles is constant. The shortest side ratio is 6/3 = 2. Therefore, the longest side of triangle XYZ = 5 * 2 = 10 cm.

Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm,

Practice Questions

Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm, 4 cm, and 5 cm, what is the length of the longest side of triangle XYZ if its shortest side is 6 cm?

8 cm
9 cm
10 cm
12 cm

Questions & Step-by-Step Solutions

Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm, 4 cm, and 5 cm, what is the length of the longest side of triangle XYZ if its 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 in similar triangles.

Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm,

What’s inside this PDF?

Triangle DEF is similar to triangle XYZ. If the sides of triangle DEF are 3 cm,

Practice Questions

Questions & Step-by-Step Solutions

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