AB is a segment of length 6cm.If a point 'P' divides AB in the ratio 1:5, then the length of AP is____ cm and PB is _____cm
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Answer: Given that
AB=6cm,
AB
AP
=
5
2
AB=6cm __ (1)
AB
AP
=
5
2
AP=
5
2
×AB
=
5
2
×6
AP=
5
12
AP=2.4cm__ (2)
AP+PB=AB
2.4+PB=6
PB=6−2.4
PB=3.6cm __ (3)
Ratio =
PB
AP
=
3.6
2.4
=
10
24
×
36
10
=
36
24
=
3
2
∴ The Ratio is 2:3
Step-by-step explanation:
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