Question

An equilateral triangle having sides x+4,4x-y,y+2.Find its side

Answer 1

Step-by-step explanation:

x+4=y+2

x-y=-2 ....(a)

4x-y=x+4

3x-y=4 ....(b)

(a) - (b)

-2x = -6

x=3

side = x+4=3+4=7

Answer 2

The side of equilateral triangle is 7 unit.

Step-by-step explanation:

Given : An equilateral triangle having sides x+4,4x-y,y+2.

To Find : Its side ?

Solution :

An equilateral triangle have equal sides.

So, the sides are given x+4,4x-y,y+2

i.e. $x+4=4x-y$

$3x-y=4$  ....(1)

$4x-y=y+2$

$4x-2y=2$

$2x-y=1$  ....(2)

Subtract (2) from (1),

$2x-y-3x+y=1-4$

$-x=-3$

$x=3$

Substitute in (1),

$3(3)-y=4$

$9-y=4$

$y=9-4$

$y=5$

So,  $x+4=3+4=7$

$4x-y=4(3)-5=7$

$y+2=5+2=7$

Therefore, the side of equilateral triangle is 7 unit.

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