Question

Бісектриса рівнобедреного трикутника, проведена з вершини при основі, утворює з основою кут 34.Який кут утворює медіана,проведена до основи, з бічною стороною?

Answer 1

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Answer 2

Bisector of an Isosceles Triangle

The bisector of an isosceles triangle is a line segment that divides one of the angles at the vertex into two congruent angles. In this case, the bisector is drawn from the vertex to the base of the triangle, forming an angle of 34 degrees with the base.

Angle formed by the Median and the Side

To find the angle formed by the median and the side of the triangle, we need to consider some properties of isosceles triangles. In an isosceles triangle, the median drawn from the vertex angle to the base is also the perpendicular bisector of the base. This means that the median divides the base into two equal segments.

Since the median is also the perpendicular bisector, it forms right angles with the base. Therefore, the angle formed by the median and the side of the triangle is 90 degrees.

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