Maths-
General
Easy

Question

  1. 𝐵𝐸 is the perpendicular bisector of 𝐴𝐶.
    Find 𝐶𝐸.

hintHint:

  • Perpendicular bisector theorem
  • According to perpendicular bisector theorem, in the triangle, any point on perpendicular bisector is at equal distance from both end points of the line segment on which it is drawn.

The correct answer is: Hence, CE = 35 units.


    Answer:
    • Step by step explanation: 
      • Given:

    AE = 3x + 14.

    CE = 5x
    BE is perpendicular bisector at AC.

    • Step 1:
    • In straight triangle ACE

    BE is perpendicular bisector.
    E is point on BE.
    So, according to perpendicular bisector theorem,
    AE = CE

    3x + 14 = 5x

    14 = 5x – 3x

    14 = 2x

    14 over 2 = x

    x = 7

    • Step 2:

    Put x = 7 in 5x

    CE = 5x

    CE = 5(7)

    CE = 35 units.

    • Final Answer: 
    Hence, CE = 35 units.

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