The perimeter of the larger triangle is 150% of the perimeter of smaller triangle. find the dimensions of each triangle.

The answer to your questions is:

Perimeter of the larger triangle = 36 units

Perimeter of the smaller triangle = 24 units

Step-by-step explanation:

Data

Perimeter of the larger triangle = 150% of the perimeter of the smaller triangle

x = ?

Formula

Perimeter of the larger triangle = a + b +c

Perimeter of the smaller triangle = a' + b' + c'

                                  a + b + c = 1.5 (a' + b' + c')

                                 15 + 9 + 2x = 1.5 (10 + 8 + x)

                                24 + 2x = 15 + 12 + 1.5x

                               24 + 2x = 27 + 1.5x

                               2x - 1.5x = 27 - 24

                              0.5x = 3

                              x = 3 / 0.5 = 6

Perimeter of the larger triangle = 15 + 9 + 2(6) = 36 units

Perimeter of the smaller triangle = a' + b' + c' = 10 + 8 + 6 = 24 units

6 = x:

Large Triangle: 15, 12, 9

Petite Triangle: 10, 8, 6

Step-by-step explanation:

Take 15 and 10 and figure out the scale factor:

You take each large dimension and divide it by the scale factor:

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