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andrey2020 [161]
3 years ago
15

Find the area of the kite. The figure is not drawn to scale.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0

Answer:

The area of the kite is 42\ units^{2}

Step-by-step explanation:

we know that

The area of a kite is half the product of the diagonals

so

A=\frac{1}{2}(D1*D2)

we have

D1=2*(3)=6\ units

<em>Find the length side of diagonal D2</em>

Applying the Pythagoras Theorem

D2=\sqrt{5^{2}-3^{2}} +10\\ \\D2=4+10\\ \\D2=14\ units

<em>Find the area of the kite</em>

we have

D1=6\ units

D2=14\ units

substitute

A=\frac{1}{2}(D1*D2)

A=\frac{1}{2}(6*14)=42\ units^{2}

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