Question

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

perimeter?

Hint:

### The concept used in this question is the perimeter of a triangle.

○ Perimeter of triangle is given by

Sum of sides of triangle.

○ If sides of triangle are a, b, and c then perimeter will be given by

a + b + c

## The correct answer is: Hence, the perimeter of the triangle is 12x - 2y + z.

- Step by step explanation:

○ Given:

Three sides of a triangle are

(2x-y+4z), (4x-3y +2z ) and (6x-5z+2y )

○ Step 1:

○ Let,

side a of triangle be (2x-y+4z).

side a of triangle be (4x-3y +2z).

side a of triangle be (6x-5z+2y).

○ Step 2:

○ The perimeter of the triangle is a + b + c.

a + b + c = (2x-y+4z) + (4x-3y +2z) + (6x-5z + 2y)

○ Step 3:

○ Group the like terms.

a + b + c = (2x + 4x + 6x) - (y + 3y - 2y) + (4z + 2z - 5z )

a + b + c = (12x) - (2y) + (z)

- Final Answer:

Hence, the perimeter of the triangle is 12x - 2y + z.

○ Step 1:

○ Let,

side a of triangle be (2x-y+4z).

side a of triangle be (4x-3y +2z).

side a of triangle be (6x-5z+2y).

○ Step 2:

○ The perimeter of the triangle is a + b + c.

○ Step 3:

○ Group the like terms.

### Related Questions to study

- 𝐵𝐸 is the perpendicular bisector of 𝐴𝐶.

Find 𝐶𝐸.

Find 𝐶𝐸.

- 𝐵𝐸 is the perpendicular bisector of 𝐴𝐶.

Find 𝐶𝐸.

Find 𝐶𝐸.

### 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