For example, if a kite has two diagonals measuring 7 inches and 10 inches, your formula will look like this:A=7×102{\displaystyle A={\frac {7\times 10}{2}}}.

For example:A=7×102{\displaystyle A={\frac {7\times 10}{2}}}A=702{\displaystyle A={\frac {70}{2}}}

For example:A=702{\displaystyle A={\frac {70}{2}}}A=35{\displaystyle A=35}So, the area of a kite with diagonals measuring 10 inches and 7 inches is 35 square inches.

Make sure you are using two non-congruent side lengths. A kite has two pairs of congruent sides. You need to use one side from each pair. Make sure the angle measurement you use is the angle between these two sides. If you do not have all of this information, you cannot use this method.

For example, if your kite has a side length of 20 inches and a side length of 15 inches, your formula will look like this: A=20×15sin⁡C{\displaystyle A=20\times 15\sin C}.

For example:A=20×15sin⁡C{\displaystyle A=20\times 15\sin C}A=300sin⁡C{\displaystyle A=300\sin C}

For example, if the angle measurement is 150∘{\displaystyle 150^{\circ }}, your formula will look like this: A=300sin⁡(150){\displaystyle A=300\sin(150)}.

For example, the sine of a 150 degree angle is . 5, so your formula will look like this: A=300(. 5){\displaystyle A=300(. 5)}.

For example:A=300(. 5){\displaystyle A=300(. 5)}A=150{\displaystyle A=150}So, the area of a kite, with two sides measuring 20 inches and 15 inches, and the angle between them measuring 150 degrees, is 150 square inches.

For example, if your kite has an area of 35 square inches, your formula will look like this: 35=xy2{\displaystyle 35={\frac {xy}{2}}}.

For example, if you know one of the diagonals is 7 inches long, your formula will look like this: 35=7y2{\displaystyle 35={\frac {7y}{2}}}.

For example:35=7y2{\displaystyle 35={\frac {7y}{2}}}35×2=7y2×2{\displaystyle 35\times 2={\frac {7y}{2}}\times 2}70=7y{\displaystyle 70=7y}

For example:70=7y{\displaystyle 70=7y}707=7y7{\displaystyle {\frac {70}{7}}={\frac {7y}{7}}}10=y{\displaystyle 10=y}So, the length of the missing diagonal of a kite, given an area of 35 square inches and one diagonal of 7 inches, is 10 inches.