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blsea [12.9K]
3 years ago
11

Find the area of a square if each

Mathematics
1 answer:
fredd [130]3 years ago
5 0

Answer:

this is the answer your welcome

Step-by-step explanation:

A=100cm²

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We start out with the fact that points C and D split the semicircle into 3 sections.  This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).

Since it forms a straight line, ∠BAE is 180°.

Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.

We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
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