What is the ratio in which a median divides the opposite side?

1 : 1

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1 : 3

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1 : 2

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2 : 1

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Solution

The correct option is A 1 : 1
A median is line joining a vertex to the midpoint of the opposite side of the triangle.

$Let us take Δ A B C$ .
$M is the midpoint, BC is divided into two equal halves (BM, MC) by median AM.$

$\frac{B M}{M C} = \frac{1}{1}$

$Hence, the median divides the opposite side in 1 : 1 ratio.$

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Similar questions

In what ratio does the median of a triangle divide its sides? 1 : __

Median of a triangle divides the opposite side as well as angle of the vertex from where it is drawn.

Question 33

If we join a vertex to a point on opposite side which divides that side in the ratio 1 : 1, then what is the special name of that line segment?

a) Median
b) Angle bisector
c) Altitude
d) Hypotenuse

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