Fins the length of the third side of a triangle with a perimeter of 21 in. if the sum of the other two is 15 in.

Set up and equation and solve

1 answer

Let x be the length of the first side and y be the length of the second side.

We are given that x + y = 15, and the perimeter of the triangle is 21, which means x + y + z = 21, where z is the length of the third side.

To find z, we can subtract x and y from both sides of the equation:
z = 21 - (x + y)

Substituting the value of x + y from the first equation, we get:
z = 21 - 15

Simplifying the expression, we find:
z = 6

Therefore, the length of the third side of the triangle is 6 inches.