Question

# Find AB.

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 = 15 units.

### Answer:

- Step by step explanation:
- Given:

AB = 5x.

AC = 4x + 3

AD is perpendicular bisector at BC.

- Step 1:
- In ABC,

AD is perpendicular bisector.

A is point on AD.

So, according to perpendicular bisector theorem,

AB = AC

5x = 4x + 3

5x – 4x = 3

x = 3

- Step 2:

Put x = 3 in 5x

CE = 5x

CE = 5(3)

CE = 15 units.

- Final Answer:

Hence, CE = 15 units.

- Given:

AD is perpendicular bisector at BC.

### Related Questions to study

- If 𝐴𝐵 ≅ 𝐵𝐶, Find 𝐶𝐸.

- If 𝐴𝐵 ≅ 𝐵𝐶, Find 𝐶𝐸.

### Three sides of a triangle are (2x-y+4z) , (4x-3y +2z ) and (6x-5z+2y ) . Find its

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### 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