The triangles are similar so corresponding sides will be in ratio. The first triangle has sides of 2, 4, and 6. The second triangle has a largest side of 24. You are asked to find the perimeter of the second triangle.
The largest side of the first triangle is 6 and the largest side of the second triangle is 24. This is a ratio of 6:24 which can be reduced to 1:4.
Each side of the second triangle is 4 times as large as the corresponding side of the first triangle.
Now we can calculate the other 2 sides.
2 x 4 = 8
4 x 4 = 16
The three sides are 8, 16 and 24
Perimeter of this triangle is 8 + 16 + 24 = 48
