А
D
5) In trapezium ABCD, side AD || side BC,
diagonals AC and BD intersect at point P.
prove that A(∆APD). AD2
_______ = CB2
A(∆CPB)
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Step-by-step explanation:
Clearly, △APD∼△CPB
⇒
CP
AP
=
PB
PD
⇒
AC−AP
AP
=
PB
PD
⇒
AP
AC
−1
1
=
PB
PD
⇒
3−1
1
=
PB
PD
∴ DP=
2
1
BP
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