Question

noah is baking a two - layer cake, in which the bottom layer is a circle and the top layer is a triangle. if ab = 10 inches and arc ab is congruent to arc ac, what does noah know about the top layer of his cake?

Explanation:

Step1: Recall arc - chord relationship

Equal arcs in a circle subtend equal chords.

Step2: Use given equal arcs

Since $\widehat{AB}\cong\widehat{AC}$, then the chords they subtend are equal. That is, $AB = AC$.

Step3: Substitute the value of AB

Given $AB = 10$ inches, and $AB = AC$, so $AC=10$ inches.

Answer:

10 inches