Mathematics
Grade9
Easy

Question

Find length of perpendicular bisector of CB

  1. 2 space square root of 11
  2. 6 space square root of 11
  3. 4 space square root of 11
  4. 24 space square root of 11

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: 24 space square root of 11


    Perpendicular bisector of CB = square root of 144 squared minus 120 squared end root
    = square root of left parenthesis 144 plus 120 right parenthesis space left parenthesis 144 minus 120 right parenthesis end root
    square root of 264 space ∗ space 24 end root
    24 square root of 11

    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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