The measure of the other diagonal line is 6.8 inches
A kite is a quadrilateral with two distinguishable consecutive sides. The area of a kite can be calculated by the multiplication of the two diagonal lines divided by 2.
Mathematically, we have:
[tex]\mathbf{A = \dfrac{pq}{2}}[/tex]
where:
- A = area of the kite = 51.68 inches²
- Let the first diagonal length be p = 15.2 inches
- The other diagonal length q = ???
∴
Using the formula for an area of a kite to determine the other diagonal length, we have:
[tex]\mathbf{51.68 \ inches^2 = \dfrac{15.2 \ inches \times q}{2}}[/tex]
[tex]\mathbf{q = \dfrac{51.86 \ inches^2 \times 2}{15.2 inches} }[/tex]
q = 6.8 inches
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