Question

5. The sides of an equilateral triangle are
(6x + 3y) cm, (8x + 9y - 5) cm and (10x + 12y
8) respectively. Find the length of each side.
Hint. Take 6x + 3y = 8x + 9y - 5 and
8x + 9y - 5 = 10x + 12y - 8 as two equations. ]
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Answer 1

Answer:

5 cm

Step-by-step explanation:

6x+3y=8x+9y-5

3y-9y+5=8x-6x

-6y+5=2x (divide both sides by 2)

x= (5/2) - 3y

Substitute the Value of X in Equation 2

8((5/2)-3y) +9y-5=10((5/2)-3y)+12y-8

20-24y+9y-5=25-30y+12y-8

15-15y=17-18y

18y-15y=17-15

3y=2 (divide both sides by 3)

y=2/3

Substitute the Value of Y in x= (5/2)-3y

x=(5/2)-3(2/3)

x=(5/2)-2 (Find the LCD and perform the subtraction)

x=(5-4)/2

x=1/2

Since you have the value of X and Y, therefore, you can substitute X and Y to any of the sides of the Triangle and consider it also as the value of the 2 other side because in an Equilateral Triangle each side has the sane length.

I will use 6x+3y

6(1/2)+3(2/3)= 5 cm