Question

Two triangles are similar. The sides of the first triangle are 4,5,and 6. The largest side of the second triangle is 24. Find the perimeter of the second triangle.

Answer 1

• The perimeter of the second triangle is 60 units.

Explanation:

If two triangles are similar, their corresponding sides will be k times greater or smaller, where k is the scale factor.

We have two corresponding sides given, 6 and 24 or 6k. Using this info, find the value of k:

• k = 24/6 = 4

The other sides of the larger triangle are:

• 4k = 4*4 = 16
• 5k = 5*4 = 20

The perimeter is the sum of sides:

• P = 16 + 20 + 24 = 60