Mathematics
Grade9
Easy

Question

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


If BD = 5 units, find AD.

  1. square root of 119
  2. square root of 118
  3. square root of 117
  4. square root of 116

Hint:

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

The correct answer is: square root of 119


    AB=AC
    4x + 4 = 8x – 4
    4x = 8
    x = 2
    AB = 4 cross times 2 + 4 = 12
    BD = 5 units
    AD = square root of 12 squared minus 5 squared end root
    square root of 144 minus 25 end root
    square root of 119

    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

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