In Figure,
. Prove that
.
Solution:
It is given that
.
We need to prove that
We can see that
and
are on the same base BQ and between the same parallels AP and BQ.
(1)
(Triangles on the same base and between the same parallels are equal in area.)
Similarly,
and
are on the same base BQ and between the same parallels BQ and CR.
(2)
(Triangles on the same base and between the same parallels are equal in area.)
Adding (1) and (2), we get
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