The perimeter of the triangle is 75cm. One side is 23cm, the other 19cm larger. Find the sides of the triangle.

Let’s find the unknown sides of the triangle. So, we know from the condition that the perimeter of a given triangle is 75 cm. It is also known that one side of a triangle has a length of a = 23 cm, and the second is 19 cm longer than the first.

We start by finding the length of the second side, for this we add 19 to the length of the first and get:

b = 23 + 19 = 42 cm length of the second side.

To calculate the length of the third, we subtract the lengths of two known sides from the perimeter:

P = a + b + c;

c = P – (a + b);

c = 75 – (23 + 42) = 75 – 65 = 10 cm.