Question

BD is one of the diagonals of quadrilateral ABCD if AL perpendicular BD and CM perpendicular BD , show that ar(ABCD)=1/2×BD×(AL+CM)

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Hello Mate!

Given : AL and CM are perpendiculars on diagonal BD.

To prove : ar(ABCD) = ½ BD( AL + CM )

Proof : ar(∆ABD) = ½ × AL × BD

ar(∆BCD) = ½ × CM × BD

ar(ABCD) = ar(∆ABD) + ar(∆BCD)

ar(ABCD) = ½ × AL × BD + ½ × CM × BD

ar(ABCD) = ½ BD ( AL + CM )

Hence Proved

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