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labwork [276]
3 years ago
15

Identify the area of the kite. HELP ASAP PLEASE!!

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

Answer:

2340 m^2

Step-by-step explanation:

The area of kite = multiply the lengths of the two diagonals and divide by 2

The top left triangle:

Using Pythagorean theorem:

c^2 = a^2 + b^2

so

b^2 = c^2 - a^2

b^2 = 51^2 - 24^2

b^2 = 2601 - 576

b^2 = 2025

b = 45

Top right triangle:

Using Pythagorean theorem:

c^2 = a^2 + b^2

so

b^2 = c^2 - a^2

b^2 = 53^2 - 45^2

b^2 = 2809 - 2025

b^2 = 784

b = 28

so  the two diagonals:

24 + 28 = 52 m and 45 + 45 = 90 m

Area of the kite:

A = 52 x 90 / 2

A = 2340 m^2

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