if p and q are points on sides ab and ac of triangle ABC such that ap=3.5cm and pb =7cm,aq=3cm and qc=6cm.if pq=4.5cm then bc=?
Answers
Answered by
0
Step-by-step explanation:
We have
(
AC
AQ
)=
9
3
=
3
1
(
AB
AP
)=
10.5
3.5
=
3
1
In ΔAPQ & ΔABC
(
AC
AQ
)=(
AB
AP
)
& ∠PAQ=∠BAC
Thus ΔAPQ∼ΔABC by SAS criterion.
Hence (
AC
AQ
)=(
BC
PQ
) (by cpst)
⇒
3
1
=(
BC
4.5
)
⇒BC=13.5cm
Answered by
0
We have
(
AC
AQ
)=
9
3
=
3
1
(
AB
AP
)=
10.5
3.5
=
3
1
In ΔAPQ & ΔABC
(
AC
AQ
)=(
AB
AP
)
& ∠PAQ=∠BAC
Thus ΔAPQ∼ΔABC by SAS criterion.
Hence (
AC
AQ
)=(
BC
PQ
) (by cpst)
⇒
3
1
=(
BC
4.5
)
⇒BC=13.5cm.
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