Grade 10 · Math

Find a corresponding side in similar triangles

Use the constant scale factor between similar triangles to find a missing side.

6 authored questions + worked example

Worked example

Two triangles are similar. Every side of the larger triangle is 2 times its corresponding side in the smaller triangle. A smaller side is 3 cm. How long is the corresponding larger side in centimeters?

Answer & why

Answer: 6

Corresponding sides share the scale factor 2. 3 × 2 = 6 cm.

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All questions

All 6 authored questions for this skill.

Question 1

Two triangles are similar. Every side of the larger triangle is 4 times its corresponding side in the smaller triangle. A smaller side is 5 cm. How long is the corresponding larger side in centimeters?

  1. 21
  2. 20
  3. 19
  4. 22
A hint

Match corresponding sides, then apply the common scale factor.

Answer & why

Answer: 20

Corresponding sides share the scale factor 4. 5 × 4 = 20 cm.

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Question 2

Two triangles are similar. Every side of the larger triangle is 3 times its corresponding side in the smaller triangle. A smaller side is 6 cm. How long is the corresponding larger side in centimeters?

  1. 18
  2. 19
  3. 17
  4. 20
A hint

Match corresponding sides, then apply the common scale factor.

Answer & why

Answer: 18

Corresponding sides share the scale factor 3. 6 × 3 = 18 cm.

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Question 3

Two triangles are similar. Every side of the larger triangle is 2 times its corresponding side in the smaller triangle. A smaller side is 7 cm. How long is the corresponding larger side in centimeters?

  1. 15
  2. 13
  3. 14
  4. 16
A hint

Match corresponding sides, then apply the common scale factor.

Answer & why

Answer: 14

Corresponding sides share the scale factor 2. 7 × 2 = 14 cm.

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Question 4

Two triangles are similar. Every side of the larger triangle is 4 times its corresponding side in the smaller triangle. A smaller side is 8 cm. How long is the corresponding larger side in centimeters?

  1. 32
  2. 34
  3. 33
  4. 31
A hint

Match corresponding sides, then apply the common scale factor.

Answer & why

Answer: 32

Corresponding sides share the scale factor 4. 8 × 4 = 32 cm.

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Question 5

Two triangles are similar. Every side of the larger triangle is 2 times its corresponding side in the smaller triangle. A smaller side is 3 cm. How long is the corresponding larger side in centimeters?

  1. 8
  2. 5
  3. 6
  4. 7
A hint

Match corresponding sides, then apply the common scale factor.

Answer & why

Answer: 6

Corresponding sides share the scale factor 2. 3 × 2 = 6 cm.

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Question 6

Two triangles are similar. Every side of the larger triangle is 3 times its corresponding side in the smaller triangle. A smaller side is 4 cm. How long is the corresponding larger side in centimeters?

  1. 12
  2. 13
  3. 14
  4. 11
A hint

Match corresponding sides, then apply the common scale factor.

Answer & why

Answer: 12

Corresponding sides share the scale factor 3. 4 × 3 = 12 cm.

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