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Answer :
The length of the largest side of the kite is 6 cm.
In a kite, the two unequal sides are typically referred to as the "longer diagonal" and the "shorter diagonal." Let's assume the length of the longer diagonal is 2x, and the length of the shorter diagonal is x.
The perimeter of the kite is the sum of all four sides. In this case, we're given that the perimeter is 18 cm.
Perimeter = Sum of all sides
18 = 2x + 2x + x + x
Simplifying the equation, we have:
18 = 6x
To find the value of x, we divide both sides of the equation by 6:
18/6 = 6x/6
3 = x
Now that we know the value of x, we can determine the length of the longer diagonal:
Length of longer diagonal = 2x = 2 * 3 = 6 cm
Therefore, the length of the longer diagonal (the largest side) of the kite is 6 cm.
In summary, the length of the largest side of the kite is 6 cm.
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