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goldenfox [79]
2 years ago
13

The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Mathematics
1 answer:
mr_godi [17]2 years ago
5 0

Answer:

131 cm

Step-by-step explanation:

formula for surface area of pyramid is

S = (1/3)Bh

but the base ia a square, so B = x^{2}

S = (1/3)x^{2} h

the pic shows h = 8

but we don't know x

do SohCahToa

sin60 = x/8

x = 8sin60

x = 6.92820323 or 7

plug in numbers

S = (1/3)7^{2}8

S = 392/3

S = 130.6666667 or 131 cm

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AE = AC = 4

m<CAB = 60 (equilateral triangle)
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Triangle BAE is isosceles since AB = AE;
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