The scale factor for two similar triangles is 4 : 3. The perimeter of the smaller triangle is 12. What is the perimeter of the larger triangle
The figures are similar, and the ratio of the perimeters is 2 : 5. Find x.
To find the perimeter of the larger triangle, we need to determine the scale factor between the two triangles.
Given that the scale factor is 4:3, this means that the corresponding sides of the larger triangle are 4 times longer than the corresponding sides of the smaller triangle.
To find the perimeter of the larger triangle, we can multiply the perimeter of the smaller triangle by the scale factor.
In this case, the perimeter of the smaller triangle is 12. So, to find the perimeter of the larger triangle, we would calculate:
Perimeter of larger triangle = Perimeter of smaller triangle * Scale factor
Perimeter of larger triangle = 12 * (4/3)
Simplifying this expression, we get:
Perimeter of larger triangle = 16
Therefore, the perimeter of the larger triangle is 16 units.
4/3 = x/12
Solve for x.
4/3=x/12
4*12/3=x
48/3=x
16=x