Question

Prove that the area of a triangle is halfthe product of am its sides and the corresponding altitudes....​

Answer 1

Answer:

Answer 2

Heya,

Answer to your question is:-

CONSTRUCTION:

Through C and A draw CP parallel to BA and AP parallel to BC, intersecting each other at P.

PROOF:

CP parallel to BA  (By Construction)

AP parallel to BC  (By Construction)

Therefore BCPA is a parallelogram.

Hence AC is a diagonal of parallelogram BCPA.

Therefore,

area of triangle = ½ ar(IIgm BCPA) = ½ × BC × AD  (As BC is the base and AD is the altitude of IIgm BCPA).

Hence, Proved!

HOPE THIS HELPS YOU:-))

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