Question
- 𝐵𝐸 is the perpendicular bisector of 𝐴𝐶.
Find 𝐶𝐸.
![](data:image/png;base64,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)
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
![straight triangle ACE](data:image/png;base64,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)
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.
Related Questions to study
The length and breadth of a rectangle are 2x-3y+1 and 4x-2y+3. Find its perimeter.
The length and breadth of a rectangle are 2x-3y+1 and 4x-2y+3. Find its perimeter.
Graph the equation ![Y equals 2 x plus 4](data:image/png;base64,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)
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph
Graph the equation ![Y equals 2 x plus 4](data:image/png;base64,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)
We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph