Question

There was a triangle ABC with sides 15, 20, and 10. One of the sides of a triangle, which is similiar to ABC is 60. What are the two other sides? Note: Give all possible answers

Answer 1

The possible pairs of sides are 90 and 120, 30 and 45, and 80 and 40.

Explanation:

We know that 60 is a multiple of 15, 20, and 30, so we multiply by each factor to find all possible pairs: 10x6=60, 20x6=120, and 15x6=90, that gives your first pair, 90 and 120.

We have now multiplied our first factor, 6. Now we need to multiply our second factor, 3: 20x3=60, 15x3=45, and 10x3=30. That gives your second pair, 30 and 45.

Finally, we need to multiply by our 3rd factor, 4: 15x4=60, 20x4=80, and 10x4=40. That gives you your final possible pair, 80 and 40.

I hope this helps :-)