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

Question

3 years ago

5

a perimeter of 26 cm ?

1 answer:

Alexxandr [17] · Answer 1 · 2022-04-28T17:02:24+03:00

<h3>Answer:</h3>

6 cm, 8 cm, 12 cm

<h3>Step-by-step explanation:</h3>

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.)