Question

Isosceles triangle ABC has a perimeter of 108 centimeters. The base of the triangle is begin mathsize 14px style AC with bar on top end style and measures 24 centimeters. What is the measure of begin mathsize 14px style AB with bar on top end style

Answer 1

Answer: 42 Centimeters

Explanation:

1. Let x be the measure of AB (the equal side).

2. Since it's an isosceles triangle, the other equal side, AB, also has a length of x.

3. The base AC has a length of 24 centimeters.

4. The perimeter is the sum of the lengths of the three sides: AB + AC + BC = 108

5. Substitute the values: x + 24 + x = 108

6. Solve for x: 2x + 24 = 108, 2x = 84 , x = 42 .

7. Therefore, AB has a length of 42 centimeters