contestada

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?

Respuesta :

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.

[tex]\frac{ht2}{ht1}=\frac{pt2}{pt1}[/tex]

[tex]\frac{4}{6}=\frac{pt2}{18}[/tex]

18*4 = 6 * pt2

72 = 6 pt2

72 / 6 = pt2

12 = pt2

The answer is:

The perimeter of the smaller triangle is 12

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