Two similar triangles have a scale factor of 3 : 5. The altitude of the larger triangle is 24 inches. What is the altitude of the smaller triangle?

14.4

14.4

3/5 • 24/x
3•24= 5•x
72=5x
72/5
14.4

After checking it in the assignment i can agree the answer is 14.4

yeah thx

To find the altitude of the smaller triangle, we can use the concept of scale factor. The scale factor is the ratio of the corresponding side lengths of two similar shapes.

In this case, we are given that the scale factor between the two similar triangles is 3:5. This means that every side length of the smaller triangle is 3 units, and the corresponding side length of the larger triangle is 5 units.

Since we are trying to find the altitude of the smaller triangle, we need to determine the ratio of the altitudes in the two triangles. The altitude of the larger triangle is given as 24 inches. Let's call the altitude of the smaller triangle 'x'.

Since the scale factor is the ratio of the corresponding side lengths, and the altitude is a corresponding length, we can set up the proportion:

(Altitude of smaller triangle) / (Altitude of larger triangle) = (Side length of smaller triangle) / (Side length of larger triangle)

x / 24 = 3 / 5

To find the value of 'x', we can cross-multiply and solve for 'x':

5x = 3 * 24
5x = 72
x = 72 / 5

So, the altitude of the smaller triangle is 14.4 inches.

multiply the ratio by 24/5 and you have

72/5 : 24
or
14.4:24

3.4