Question

noah is baking a two - layer cake, in which the bottom layer is a circle and the top layer is a triangle. if (overline{ab}=6) inches and (widehat{ab}congwidehat{ac}), what does noah know about the top layer of his cake?

Explanation:

Step1: Use the property of congruent arcs

Since \(\overset{\frown}{AB}\cong\overset{\frown}{AC}\), then the chords subtended by these arcs are equal. That is, \(AB = AC\).

Step2: Substitute the given value

Given \(AB = 6\) inches. Because \(AB = AC\), so \(AC=6\) inches.

Answer:

\(AC = 6\) inches