Question

Find the length of AB , given that DB is a median of the triangle and AC = 50.

Answer 1

The length of AB is 25 units.

Solution-

Median-

A median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it.

As given that, DB is a median of the triangle. DB is a median to side AC, so it bisects or divides AC in two equal parts.

Hence,

`\Rightarrow AC=2* AB`

`\Rightarrow AB=(1)/(2)AC`

`\Rightarrow AB=(1)/(2)* 50 = 25`

Therefore, the length of AB is 25 units.

Answer 2

Since DB is the median of the triangle, it would bisect the base AC. This would mean that AB and BC are equal halves of the whole AC. So, if AC is 50, then,

AC = AB + BC
since AB = BC,
AC = 2AB
50 = 2AB
AB = 50/2
AB = 25

The answer is 25.