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Alecsey [184]
3 years ago
10

EC = 10cm, AE = 4cm, and m∠EAB = 45°. Find the area of the kite. 56cm2 80cm2 112cm2 160cm2

Mathematics
2 answers:
devlian [24]3 years ago
8 0

Answer:

Option A is correct i.e Area is 56 square centimeter.

Step-by-step explanation:

Given EC = 10cm, AE = 4cm, and m∠EAB = 45°. we have to find the area of kite.

In ΔABE,  ∠EAB = 45°

tan\angle EAB=\frac{BE}{AE}

⇒ tan 45^{\circ}=\frac{BE}{4}

⇒ BE=4 cm

BE=ED=4 cm (one diagonal of kite bisect other)

BD=BE+ED=4+4=8 cm

AC=AE+EC=4+10=14 cm

\text{Area of kite=}\frac{pq}{2}, where p and q are the diagonals

⇒ \text{Area of kite ABCD=}\frac{8\times 14}{2}=56cm^2

Option A is correct.

aalyn [17]3 years ago
5 0

Did the math the comment bro is right it’s 56

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