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- In the given figure, BC⟂ AB, AE ⟂ AB and DE ⟂ AC. Prove that DE.BC = AD.AB.
- In a ΔABC, AB = BC = CA = 2a and AD⟂ BC. Prove that (i) AD =a√3 (ii) area (ΔABC) = √3a^2
- In the given figure, PA, QB and RC are each perpendicular to AC. Prove that 1/x+1/z=1/y
- ∠BAC = 90°, AD is its bisector. IF DE ⟂AC, prove that DE × (AB + AB) = AB × AC.
- In ΔABC, if AD is the bisector of ∠A, prove that Area (ΔABD)/Area (ΔACD) =AB/AC

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