The problem asks to find the length of segment $AB$ given that the length of segment $AC$ is 17 cm, and the triangle is isosceles.

Key Information:

• Isosceles triangle: In an isosceles triangle, two sides are of equal length. From the diagram, it appears that $AB$ and $AC$ are the equal sides.
• You are given: $m(AC) = 17 \, \text{cm}$.

Solution:

Since $\triangle ABC$ is isosceles, and sides $AB$ and $AC$ are congruent (the same length), we know: $m(AB) = m(AC) = 17 \, \text{cm}.$

Therefore, the length of $AB$ is also 17 cm.

Would you like a further breakdown of isosceles triangles, or any other details?

Follow-up Questions:

1. How do we determine which sides are congruent in an isosceles triangle?
2. What properties make isosceles triangles special compared to other types of triangles?
3. Can an isosceles triangle also be a right triangle? If so, how?
4. How do you calculate the angles in an isosceles triangle if side lengths are known?
5. If both sides were different, how would we approach the problem?

Tip: When working with triangles, always check for symmetry in side lengths or angles, as this can simplify calculations.