the ratio of the corresponding side lengths of two triangles is 5 to 3. the perimeter of the larger triangle is 48m. What is the perimeter of the smaller triangle?
what is 48*3/5 ?
10:12
To find the perimeter of the smaller triangle, we need to determine the ratio of the perimeters of the two triangles.
Given that the ratio of the corresponding side lengths of the two triangles is 5 to 3, we can conclude that the ratio of the perimeters would also be 5 to 3.
Let's set up an equation using this knowledge.
Let P1 be the perimeter of the larger triangle and P2 be the perimeter of the smaller triangle.
We can set up the equation as follows:
P1 / P2 = 5/3
Substituting the given perimeter of the larger triangle (P1 = 48m), we get:
48 / P2 = 5/3
To find P2, we can cross-multiply and solve for P2:
3 × 48 = 5 × P2
144 = 5 × P2
Dividing both sides by 5:
P2 = 144 / 5
Therefore, the perimeter of the smaller triangle is 28.8m.