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?

1 Answer
Dec 15, 2016

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.