Two triangles are similar. In the smaller, two sides are 4 cm and 6 cm. The side corresponding to the 6 cm side in the larger triangle is 15 cm. What is the length of the side corresponding to the 4 cm side?

Answer and explanation

Correct answer: A. 10 cm

  1. Step 1: Scale factor: .
  2. Step 2: cm.
Answer
10 cm.
Why not the others: 9 cm: this is the difference 15 − 6, not a length. 8 cm: the scale factor was taken as 2. 13 cm: the difference 9 was added to 4 instead of using the ratio.

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