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

2 answers
Question:

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

Answers

Answer:The answer is 6 inchesStep-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:Answer:The answer is 6 inchesStep-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 inchesRead more on Brainly.com - https://brainly.com/question/6638938#readmoreStep-by-step explanation:

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