Question

the corresponding altitudes of two similar triangles are 6 and 4 if the perimeter of the larger triangle is 18 what is the perimeter of the smaller triangle?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

triangle 1

h = 6

p = 18

triangle 2

h = 4

p = ?

Step 02:

We must apply the properties of triangles to find the solution.

`(ht2)/(ht1)=(pt2)/(pt1)`

`(4)/(6)=(pt2)/(18)`

18*4 = 6 * pt2

72 = 6 pt2

72 / 6 = pt2

12 = pt2

The answer is:

The perimeter of the smaller triangle is 12