The lengths of the sides of a triangle are 15 cm, 20 cm, 30 cm. what are the lengths of the sides of a similar triangle that has a perimeter of 26 cm ?

6 cm, 8 cm, 12 cm

Step-by-step explanation:

The perimeter of the reference triangle is  ...

... (15 +20 +30) cm = 65 cm

Then the similar triangle has a scale factor of ...

... (26 cm)/(65 cm) = 2/5

Multiplying the side lengths of the reference triangle by 2/5, we get ...

... {15 cm, 20 cm, 30 cm) × 2/5 = {6 cm, 8 cm, 12 cm}

These are the side lengths of the smaller similar triangle. (Check: their sum is 26 cm.)

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