Can a median of a triangle also be an altitude?

For an equilateral triangle, the median cuts the side in half and is the same as an altitude. This is also true in an isosceles triangle.

What is the altitude of an isosceles triangle?

A triangle in which two sides are equal is called an isosceles triangle. The altitude of an isosceles triangle is perpendicular to its base.

Can an altitude coincide with a median in an isosceles triangle give reason for your answer?

because. in the isosceles triangle , two adjacent sides and angle are equal. since two angles are equal the bisectot of the line segment between them bisect the angle opposite to it. And if we check the angle,it will coincide with the median.

Can altitude and median be same for isosceles triangle?

The median and the altitude of an isosceles triangle can be the same. The two sides of this triangle are equal because it is an isosceles triangle and the line drawn is perpendicular to the triangle and also it divides the base into two equal parts.

How are the median and altitude of an isosceles triangle related?

In an isosceles triangle (where base is the side which is not equal to any other side): – the altitude drawn to the base is the median and the angle bisector; – the median drawn to the base is the altitude and the angle bisector; – the bisector of the angle opposite to the base is the altitude and the median.

Is median and altitude same?

The altitude and median is not the same thing in a triangle. An altitude is a perpendicular bisector on any side of a triangle and it measures the distance between the vertex and the line which is opposite side whereas, a median is a line segment that connects a vertex to the central point of the opposite side.

In which triangle does the median and altitude coincide?

equilateral triangle
Medians of an equilateral triangle coincides with the altitude of the triangle.

Can altitude and median be same for a isosceles triangle?

Which triangle has altitude and median are same?

However, in the case of an equilateral triangle, the median and altitude are always the same.