Question

The sides of a triangle are 5, 6 and 10. How do you find the length of the longest side of a similar triangle whose shortest side is 15?

Answer 1

See explanation.

Explanation:

If two figures are simmilar, the quotients of lengths of respective sides are equal to scale of similarity.

Here if the shortest side is `15`, then the scale is `k=15/5=3`, so all sides of the second triangle are `3` times longer than the respective sides of the first triangle.

So the simmilar triangle has sides of lengths: `15,18` and `30`.

Finally we can write answer:

The longest side of the second triangle is `30` units long.