Question

If ABC=180, and the lengths of AD and DC are equal, what is Ä ACD ?

Answer 1

Possible answers


A. 45°
B. 60°
C. 90°

Answer 2

We're dealing with an isosceles triangle inside a circle

Answer 3

what do the two dots ontop of the A mean though?

Answer 4

This triangle is an isosceles triangle because the lengths AD and DC are equal,

This triangle is also a right triangle because when the longest side is the diameter and the other point of the triangle is on the circle, a right triangle will be created.

An isosceles right triangle has the side lengths 90-45-45, and the angle ACD in this problem would be 45 degrees.