Question

noah is baking a two layer cake in which the bottom layer is a circle and the top layer is a triangle if line ab

Answer 1

Since , segment AB ≅ segment BC as their arcs are congruent ; therefore , ΔABC is an isosceles triangle .

Properties of a circle :

If a circle is circumscribed around a triangle, then the vertices of the

1. Triangle divides the circle into three arcs

2. The three sides of the triangle are the chords of the circle

3. Each chord in the circle subtended by an arc

4. If two arcs equal, then they are subtended equal chord

∵ Circumscribed circle D around triangle ABC

- The vertices of triangle ABC lie on the circumference of the circle

AB , BC , AC are the chords of the circle

Arcs AB and AC are congruent

Arc AB ≅ arc AC

Arc AB subtended the chord AB

Arc AC subtended the chord AC

AB = AC

AB = 6 inches

AC = 6 inches

- The triangle with two equal sides is called an isosceles triangle

∴ Δ ABC is an isosceles triangle .

Noah know that the top layer of his cake is an isosceles triangle

* segment AB ≅ segment BC because their arcs are congruent;

Therefore, ΔABC is an isosceles triangle.

To learn more on circle properties :

brainly.com/question/4244936

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