The median BD is drawn in an isosceles triangle ABC. The base angle is 52 degrees.
| May 2, 2021 | education
The median BD is drawn in an isosceles triangle ABC. The base angle is 52 degrees. Calculate the degree measure of the CBD angle.
The median BD drawn to the base of the AC is also the height of the triangle, then the triangle ABD is rectangular. Then in a right-angled triangle AED the angle ABD = (180 – 90 – BAD) = (180 – 90 – 52) = 38.
The median BD is also the bisector of the angle at the vertex B, then the angle CBD = ABD = 38.
Answer: The angle CBD is 38.
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