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Neko [114]
3 years ago
13

In a parallelogram EFGH, EJ=x^2-4 and JG=3x. What is EG?

Mathematics
2 answers:
trapecia [35]3 years ago
7 0

EG = 24 ( solution is attached below)

Tems11 [23]3 years ago
3 0

Answer : The value of side EG is, 24 units.

Step-by-step explanation :

Property of parallelogram:

The diagonals bisect each other and the opposite sides are equal to each other.

In the given parallelogram EFGH,

Given:

Side EJ = x^2-4

Side JG = 3x

According to the property of parallelogram,

Side EJ = Side JG

x^2-4=3x

x^2-3x-4=0

x^2-4x+1x-4=0

x(x-4)+1(x-4)=0

(x-4)(x+1)=0

(x-4) = 0  and  (x+1) = 0

x = 4  and x = -1

Now we have to determine the value of side EG.

Side EG = Side EJ + Side JG

Side EG = x^2-4+3x

Now put the value of x = 4, we get:

Side EG = (4)^2-4+3(4)=16-4+12=24

Now put the value of x = -1, we get:

Side EG = (-1)^2-4+3(-1)=1-4-3=-6

As we know that, the value of side can not be negative. So, the value of side EG will be, 24 units.

Hence, the value of side EG is, 24 units.

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