Answer: the length of each of the congruent sides is 29 inches.
The length of the third side is 22 inches.
Step-by-step explanation:
In an isosceles triangle, two sides are equal. The base angles are also equal.
Let x represent the Length of each of the congruent side.
The congruent sides are 7 inches longer than the third side of the triangle. This means that the length of the third side of the triangle is
x - 7
The formula for determining the perimeter of a triangle is
a + b + c
Where a, b and c are the length of each side of the triangle.
If the isosceles triangle has a perimeter of 80 inches, it means that
x + x + x - 7 = 80
3x - 7 = 80
3x = 80 + 7 = 87
x = 87/3 = 29 inches
The length if the third side would be
29 - 7 = 22 inches
