Question

The sides of a triangle are 7, 8, and 10. What is the length of the shortest side of a similar triangle whose perimeter is 100.

Answer 1

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

Step 01:

Data

Triangle 1:

side 1 = 7

side 2 = 8

side 3 = 10

Triangle 2:

Perimeter = 100

shortest side = ?

Step 02:

Triangle 1:

Perimeter = 7 + 8 + 10 = 25

Triangle 2:

shortest side

We must apply the properties of similar triangles.

$\frac{100}{25}=\frac{shortest\text{ side}}{7}$

25 * shortest side = 100 *7

shortest side = (100 *7) / 25 = 28

The answer is:

The lenght of the shortest side is 28.