The value of JK is 12
How to determine the value
From the diagram shown, we can see that;
- Line JL = 5x
- Line JK = 3x
- Line KL = 8
But line JL is the line with JK and KL as the line segments and K the midpoint between J and K
This can be represented as;
JK + KL = JL
substitute the values into the equation, we have;
3x + 8 = 5x
collect like terms
3x - 5x = -8
subtract like terms
-2x = -8
makes 'x' the subject of formula
x = -8/-2
x = 4
But JK = 3x = 3(4) = 12
Thus, the value of JK is 12
Learn more about line segments here:
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