# The median BM is drawn in an isosceles triangle ABC with base AC. angle ABM

September 30, 2021 | education

| **The median BM is drawn in an isosceles triangle ABC with base AC. angle ABM = 60 degrees. BM = 6cm. Find the angles of triangle ABC and its side**

1. According to the properties of an isosceles triangle, the BM median is the height and

bisector. That is, the angle AMB = 90 °. Angle ABC = 60 ° x 2 = 120 °.

2. We calculate the degree measure of the angle BAM:

Angle BAM = 180 ° – 90 ° – 60 ° = 30 °. angle BAM = angle ACB = 30 °.

3. In the AVM triangle, the perpendicular BM is the leg opposite the 30 ° angle.

Therefore, its length is half the length of the hypotenuse AB.

AB = 6 x 2 = 12 cm.

Answer: angle ABC = 120 °, angle BAC = angle ACB = 30 °, the length of the side of the triangle is 12 cm.

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