The length of the sides of a triangle are 5, 6 and 7.
If the perimeter of a similar triangle is 36
Perimeter of a triangle = a + b+ c
The perimeter of the first triangle is
P = 5 + 6 + 7
P = 11 + 7
P = 18
To find the smallest lengths
18 / 36 = 5 / x
Introduce cross multiplication
36 x 5 = 18 * x
180 = 18x
Divide both sides by 18
180/18 = 18x/18
x = 180/18
x = 10
The answer is 10