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.

### 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

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

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