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
