trecnametry, Mathematics

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Prove which divide these sides in the ratio 2: 1, In a right triangle ABC, ...

In a right triangle ABC, right angled at C, P and Q are points of the sides CA and CB respectively, which divide these sides in the ratio 2: 1. Prove that  9AQ 2 = 9AC 2 +4BC 2

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Show that tan = 1/v3 , If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3  ...

If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3                      . Ans:    If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan?  1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)

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