Triangle ABC has side lengths of 10 units, 20 units, and 24 units. Triangle XYZ is similar to ABC and its longest side is 60 units in length. What is the perimeter of XYZ?

Question

Triangle ABC has side lengths of 10 units, 20 units, and 24 units. Triangle XYZ is similar to  ABC and its longest side is 60 units in length. What is the perimeter of  XYZ?

mathstudent55 · Answer

With the two known corresponding sides, you can find the scale factor.
Then find the perimeter of triangle ABC.
Then use the scale factor to find the perimeter of triangle XYZ.

anonymous · Answer

So the scale factor would be 2.5
Meaning the perimeter is 135.

mathstudent55 · Answer

Correct!