Need a little help, would be much appreciated.
In ΔABC, a = 8 and b = 8. If the area of ΔABC is 16, then m∠ C may be equal to
A. 30
B. 40
C. 50
D. 60
In ΔABC, a = 8 and b = 8. area of ΔABC = 16,
Area = 1/2 b c sin A
So,
16 = 1/2 • 8 • 8 sin C
16 = 32 sin C
16/32 = 1/2 = sin C
so go for A
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Answers & Comments
In ΔABC, a = 8 and b = 8. area of ΔABC = 16,
Area = 1/2 b c sin A
So,
16 = 1/2 • 8 • 8 sin C
16 = 32 sin C
16/32 = 1/2 = sin C
Area = 1/2 b c sin A
16 = 1/2 • 8 • 8 sin C
16 = 32 sin C
16/32 = 1/2 = sin C
so go for A