Question

The median of a triangle divides it into two

• A. triangles of equal area
• B. congruent triangles
• C. right triangles
• D. isosceles triangles

Answer 1

The correct option is A

triangles of equal area

Explanation for correct option

Option (a)

A triangle's median is a line segment connecting a vertex to the mid-point of the side opposite that vertex.

A triangle's middle divides it into equal-area triangles.

Properties of median of triangle:

• Each vertex of a triangle has three medians. The triangle $ABC$'s three medians are $AE,BF$, and $CD$.
• Regardless of the triangle's shape, the three medians always meet at a single point.
• The triangle's centroid is the place where the three medians meet. The triangle $ABC$'s centroid is point $O$.
• A triangle's middle divides the triangle into two smaller triangles of equal area.
• In actuality, the triangle is divided into 6 smaller triangles of equal area by the three medians.

Hence, Option (a) triangles of equal area is the correct answer.

Explanation for incorrect option

Option (b)

The median of a triangle does not divides it into two congruent triangles

Hence, Option (b) congruent triangles is the incorrect answer.

Option (c)

The median of a triangle does not divides it into two right triangles

Hence, Option (c) right triangles is the incorrect answer.

is the incorrect answer.

Option (d)

The median of a triangle does not divides it into two isosceles triangles

Hence, Option (d) isosceles triangles is the incorrect answer.