The perimeter of the triangle is 35 cm. One side of the triangle is 16 cm, and the other is 3/4

| April 27, 2021 | education

The perimeter of the triangle is 35 cm. One side of the triangle is 16 cm, and the other is 3/4 of the length of the first. What is the length of the third side.

It is known from the condition that the perimeter of the triangle is 35 cm. It is also known that one side of the triangle is 16 cm, and the second is 3/4 of the length of the first. And we need to find what is the length of the third side.

We’ll start by recalling the formula for finding the perimeter of a triangle.

P = a + b + c (the sum of the lengths of the sides of the triangle).

The length of one of the sides is 16 cm, we find the length of the second side, if it is known that it is 3/4 of the length of the first side:

16 * 3/4 ​​= 4 * 3 = 12 cm.

And we find the length of the thirds from the formula for finding the perimeter:

16 + 12 + x = 35;

x = 35 – 16 – 12;

x = 7 cm.

Answer: 7 cm.



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