Question

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

Answer 1

6 = x:

Large Triangle: 15, 12, 9

Petite Triangle: 10, 8, 6

Explanation:

Take 15 and 10 and figure out the scale factor:

`(15)/(10) = 1(1)/(2)`

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

`(9)/(1 (1)/(2)) = 6 \\ \\ 8(1 (1)/(2)) = 2x \\ \\ 12 = 2x \\ \\ 6 = x`

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Answer 2

The answer to your questions is:

Perimeter of the larger triangle = 36 units

Perimeter of the smaller triangle = 24 units

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