Maths-
General
Easy
Question
- 𝐵𝐸 is the perpendicular bisector of 𝐴𝐶.
Find 𝐶𝐸.
Find 𝐶𝐸.
Hint:
- 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
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
= x
x = 7
- Step 2:
Put x = 7 in 5x
CE = 5x
CE = 5(7)
CE = 35 units.
- Final Answer:
Hence, CE = 35 units.
- Given:
BE is perpendicular bisector at AC.
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