Question

In ∆ABC, the median AM (M ∈ BC ) is perpendicular to the angle bisector BK (K ∈ AC ). Find AB, if BC = 12 in.

Answer 1

Answer:

The answer is 6 inches

Step-by-step explanation:

Since the angle is isosceles, angle A and angle B have the same measure, 

The sum of the angles of any triangle is 180°.

So 2 times the measure of angle B plus  120° = 180°, then the equation:

Solving for x we get: 

Now we use the law of sine on the triangle BMC like this:

Solving for BC we get : 

We apply the law of sin again on the isosceles triangle ABC like this:

Solving for AB we get:

6 inches

Answer 2

Answer:

Answer:

The answer is 6 inches

Step-by-step explanation:

Since the angle is isosceles, angle A and angle B have the same measure, 

The sum of the angles of any triangle is 180°.

So 2 times the measure of angle B plus  120° = 180°, then the equation:

Solving for x we get: 

Now we use the law of sine on the triangle BMC like this:

Solving for BC we get : 

We apply the law of sin again on the isosceles triangle ABC like this:

Solving for AB we get:

6 inches

Read more on Brainly.com - https://brainly.com/question/6638938#readmoreStep-by-step explanation: