6. In a AABC, if 32A = 4/B = 64C. calculate 2A Band ZC.
7. In a 44BC. LA = 40°. If the bisectors of Band 2.meet at O. Prove that BOC=110.
8. In
16. Prove that the age
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Here given formula is
a2 + b2 + c2 −ab− bc − ca = 0
and it is possible if and only if a = b = c.
From the trial and error method,
1) Let a = b = c = 1
Now substitute these values of a, b, c in the above formula.
We get 1 + 1 + 1 - 1 - 1 - 1 = 3 - 3 = 0
2) Now, let a = b = c = 4
Now substitute these values of a, b, c in the above formula.
We get 16 + 16 + 16 - 16 - 16 - 16 = 48 - 48 = 0.
Hence, it is possible that
a2 + b2 + c2 −ab− bc − ca = 0 iff a = b = c.
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