Math, asked by ruthsusan365, 10 months ago

The sides of an equilateral triangle are given as 5x cm,(4x+3y-9)cm and(6x-2y+2)cm.Find the value of x and y and hence calculate the perimeter of the triangle

Answers

Answered by Anonymous
0

Answer:

The sides (in cm) of an equilateral triangle are 2x-3y+1 ... Get the answers you need, now! ... -2y+10=4y-2 ... y= 2 and x=6 so, sides=x+y-1 =7. Perimeter=3×7 =21cm.

17 votes

In eq. triangle all sides are equalso, 2x-3y+1=3x-y-9 -2y+10=x ---(1) and2x-3y+1=x+y-1x=4y-2 ...

Answered by Delta13
0

Given:

sides of given equilateral triangle

5x cm

(4x + 3y - 9) cm

(6x - 2y + 2) cm

To find :

values of x and y and perimeter of the triangle.

Answer:

Sides are equal in an equilateral triangle.

Therefore,

=> 5x = 4x + 3y - 9

=> x - 3y + 9 = 0 -------- (1)

Also we have,

=> 5x = 6x - 2y + 2

=> x - 2y + 2 = 0 ---------(2)

And,

=> 4x + 3y - 9 = 6x - 2y + 2

=> 2x - 5y + 11 = 0 --------(3)

From eq (1) and (2)

we will get,

=> y - 7 = 0

=> y = 7

Substituting this value in eq (1)

=> x - (2)(7) + 2 = 0

=> x - 14 + 2 = 0

=> x - 12 = 0

=> x = 12

It's given that, side of equilateral triangle is 5x.

Therefore,

Side = 5 × 12 = 60 cm

We know that perimeter of equilateral triangle = 3(side)

Thus,

Perimeter = (3 × 60) = 180 cm

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