Two corners of one triangle are equal to two corners of another triangle. Find the sides of another triangle

Two corners of one triangle are equal to two corners of another triangle. Find the sides of another triangle if its perimeter is 90 cm, and the sides of the first triangle are 4 cm, 5 cm, 6 cm.

Let us determine how many centimeters the perimeter of the first triangle will be expressed, when it is known from the condition that its lengths of its sides are 4, 5 and 6 centimeters, respectively:

4 + 6 + 5 = 15.

Determine how many times the perimeter of the second triangle will be greater than the perimeter of the first:

90: 15 = 6.

By condition, two corners of one are equal to two corners of the other, that is, the figures are similar.

Let’s define the sides of the second triangle:

4 * 6 = 24;

5 * 6 = 30;

6 * 6 = 36.

Answer: 24 cm, 30 cm and 36 cm.