Question

The three sides of a triangle are n,3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each side? Separate multiple entries with a comma.

Answer 1

The lengths of the three sides of the triangle are calculated to be 6, 21, and 23 inches, by setting up and solving an equation based on the given perimeter of 50 inches.

Step-by-step explanation:

The student has provided the lengths of the three sides of a triangle as variables: n, 3n + 3, and 2n + 11. The perimeter of the triangle is given as 50 inches, which is the sum of the lengths of all three sides. To find the value of n, we need to set up an equation that represents this condition and solve for n.

We begin by summing up the sides of the triangle:

n + (3n + 3) + (2n + 11) = 50

Now that we have n, we can find the lengths of each side:

First side: n = 6 inches

Therefore, the lengths of the sides are 6, 21, and 23 inches.