AB =AC 5.BC =6 Attitude AD=?

1 answer

As AB = AC, it means that the triangle ABC is an isosceles triangle.

Since BC = 6, it implies that AB = AC = 6 as well.

Now, since AB = AC = 6, it implies that the two sides of the isosceles triangle ABC are equal, and opposite angles are also equal.

Therefore, angle BAD = angle CAD.

So, the measure of angle AD can be found by subtracting the sum of angles BAD and CAD from 180 degrees.

Let's assume angle AD is measured as x degrees.

Therefore, angle BAD = angle CAD = x degrees.

Sum of angles BAD, CAD, and AD = 180 degrees.

So, x + x + x = 180 degrees.

3x = 180 degrees.

Dividing both sides by 3, we get:

x = 60 degrees.

Hence, the measure of angle AD is 60 degrees.