Mathematics
Grade9
Easy

Question

Direction : Among given options only for this figure perpendicular bisector theorem is used.


If AD = 8 units, find BD.

  1. 4 space square root of 5
  2. 2 space square root of 5
  3. 4 space square root of 3
  4. 4

hintHint:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. T

The correct answer is: 4 space square root of 5


    AD = 8
    AB = 12 units
    BD = square root of 12 squared space minus space 8 squared end root equals space square root of 144 space minus space 64 end root space equals space square root of 80 space end root equals space 4 square root of 5

    the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle

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