Isosceles triangle $$ A B C $$ has a perimeter of 96 centimeters. The base of the triangle is $$ \overline{A C} $$ and measures 24 centimeters. What is the measure of $$ \overline{A B} $$ ? 12 cm 36 cm 48 cm 72 cm

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To determine the measure of $$ \overline{A B} $$ in the isosceles triangle $$ A B C $$:

1. **Given:**
   - Perimeter of triangle $$ A B C $$ is 96 cm.
   - Base $$ \overline{A C} $$ is 24 cm.
   - Since the triangle is isosceles with $$ A B = B C $$, let $$ A B = B C = x $$.

2. **Set up the equation for the perimeter:**
   $$
   A B + B C + A C = 96 \quad \Rightarrow \quad x + x + 24 = 96
   $$
   $$
   2x + 24 = 96
   $$

3. **Solve for $$ x $$:**
   $$
   2x = 96 - 24
   $$
   $$
   2x = 72
   $$
   $$
   x = 36
   $$

Therefore, the measure of $$ \overline{A B} $$ is **36 cm**.

**Answer:** 36 cm
The measure of $$ \overline{A B} $$ is 36 cm.

Isosceles triangle has a perimeter of 96 centimeters. The base of the triangle is and measures 24
centimeters.
What is the measure of ?
12 cm
36 cm
48 cm
72 cm

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Isosceles triangle has a perimeter of 96 centimeters. The base of the triangle is and measures 24 centimeters. What is the measure of ? 12 cm 36 cm 48 cm 72 cm