Question

The diagram shows two proportional right triangles.

What is the perimeter of the larger triangle?

Answer 1

48 units.

Explanation:

Since the triangles are similar (proportional), their dimensions are increased at the same ratio at any point, which means their perimeter too. So the base of the larger triangle is twice as long as the base of the smaller triangle.

The perimeter of the smaller triangle is 10 + 6 + 8 = 24 units.

24 * 2 = 48. Because the ratio of increase is 2:1 from the bigger triangle to the smaller triangle.

Hope you could understand this,