Question

All the medians of a triangle are equal in case of a: *

1 point

Equilateral triangle

Isosceles triangle

Scalene triangle

Right angled triangle

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Answer 1

Answer:

Equilateral triangle

Answer 2

Answer:

Step-by-step explanation:

Concept:

There are three medians in a triangle. A median is a line segment that connects any triangle vertex to the middle of the opposite side. It is also the path that connects an angle's opposite internal side to its midpoint. At the centroid, they coexist. A point of concurrency, or the centroid of a triangle, is the location where the medians of all three triangles cross.

Given:

All medians of a triangle are equal in case of a

Equilateral triangle

Isosceles triangle

Scalene triangle

Right angled triangle

Find:

To find in which case all the medians of a triangle are equal

Solution:

The centroid divides the triangle into 6 smaller triangles with the same area.

The medians of an equilateral triangle have identical lengths.

In the case of an isosceles triangle, the medians from the vertices with equal angles are of the same length.

The medians' lengths vary in terms of a triangular scalene.

Hence all the medians of a triangle are equal in case of a Equilateral triangle.

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