Question

4. Find the length of AB, given that DB is a median of
the triangle and AC = 40.

Answer 1

Answer: AB=12 because medians bisect the opposing side of a vertex.

Answer 2

Given:-

• DB is a median of the triangle.
• AC = 40

Solution:-

• AC = AB + BC

DB divides AC into two equal parts.

• 
  `\sf{AB = BC}`

`\:`

• 
  `\sf{AC = 2AB}`

`\:`

• 
  `\sf{40 = 2AB}`

`\:`

• 
  `\sf{AB = (40)/(2) }`

`\:`

• 
  `\sf{AB = \cancel(40)/(2) }`

`\:`

• 
  `\underline{ \boxed{ \red{\sf{AB = 20}}}}`

`\:`

Therefore, the length of AB is 20units.

`\:`

hope it helps!:)