Because the arcs of segments AB and BC are congruent, the triangle ABC is isosceles.
The isosceles triangle is a triangle in which both sides and both of the diagonal angles are equal.
The vertices of a triangle's perimeter if a circle is drawn around it.
Two arcs that are equal are subtended by equal chords.
Let's deal with this issue.
The triangle ABC is encircled by a circle D.
The circle's circumference is where triangle ABC's vertices are located.
The chords of the circle are AB, BC, and AC.
The arcs AB and AC are similar.
Arc AC and Arc AB
Arc AB subtended chord AB.
Arc AC subtended chord AC.
∴ AB = AC
AB = 6 inches.
AC = 6 inches.
An isosceles triangle is a triangle having two equal sides.
It is an isosceles triangle, ABC.
The top layer of Noah's cake is an isosceles triangle, he is aware of this.
Segment AB and segment BC have congruent arcs;
Because of this, ABC is an isosceles triangle.
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I understand that the question you are looking for is:
Noah is baking a two-layer cake, in which the bottom layer is a circle and the top layer is a triangle. If segment AB = 5 inches and arc AB≅ arc AC, what does Noah know about the top layer of his cake? Segment AB is twice the length of segment BC because their arcs are congruent; therefore, ΔABC is an isosceles triangle. segment AB is twice the length of segment BC because their arcs are congruent; therefore, ΔABC is an equilateral triangle. segment AB ≅ segment BC because their arcs are congruent; therefore, ΔABC is an isosceles triangle. segment AB ≅ segment BC because their arcs are congruent; therefore, ΔABC is an equilateral triangle.
