Question

Two sides of a triangle are equal in length. The length of the third side exceeds the length of one of the other sides by 7 feet. If the total perimeter of the triangle is 25 feet, what are the lengths of all the sides?

Answer 1

The triangle has two equal sides each measuring 6 feet and a third side measuring 13 feet, resulting in a perimeter of 25 feet.

Step-by-step explanation:

To solve the problem of finding the lengths of all three sides of a triangle with two equal sides, where the third side is 7 feet longer than the others, and the triangle's total perimeter is 25 feet, we can use algebra.

Let's use x to represent the length of each of the two equal sides. Therefore, the third side will be x + 7 feet. Since the perimeter is the sum of all sides, we have the equation:

1. x + x + (x + 7) = 25
2. 3x + 7 = 25
3. 3x = 25 - 7
4. 3x = 18
5. x = 18 / 3
6. x = 6

The length of each of the equal sides is 6 feet, and the third side is 6 + 7 = 13 feet.

Therefore, the sides of the triangle are 6 feet, 6 feet, and 13 feet.