The equalateral triangle with its givem dimension in cm x+8, y+4, 4x- y find it perimeter

42 cm

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

Thus,

x +8= y +4

x= y+4 -8

x= y -4 (1)

4x-y= y+4

4x= y +y +4 (+y on both sides)

4x= 2y +4 (simplify)

Divide by 2 throughout,

2x= y +2 (2)

subst. (1) into (2):

2(y -4)= y +2

2(y) +2(-4)= y +2 (expand)

2y -8= y +2

2y -y= 8 +2

y= 10

Length of a side of the traingle

= y +4

= 10 +4

= 14

Perimeter of triangle

= 3(14)

= 42 cm

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