there are two concentric circles with center O and radii 5cm and 3cm are drawn to these circles .if AP= 12cm find the length of BP
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Answered by
245
Join OA and OB
Triangle OAP and OBP are right angled triangle.
In Triangle OAP
AP= 12 cm , OA= 5 cm
OP2 = OA2 + AP2
= 52 + 122
=25 + 144
= 169
OP = 13 cm
In Triangle OBP
OP = 13 cm, OB= 3 cm.
OP2 = OB2 + BP2
OP2- OB2 = BP2
=132 - 32
=169 -9
= 160
BP = 4 root 10
I hope that i'm right.
Triangle OAP and OBP are right angled triangle.
In Triangle OAP
AP= 12 cm , OA= 5 cm
OP2 = OA2 + AP2
= 52 + 122
=25 + 144
= 169
OP = 13 cm
In Triangle OBP
OP = 13 cm, OB= 3 cm.
OP2 = OB2 + BP2
OP2- OB2 = BP2
=132 - 32
=169 -9
= 160
BP = 4 root 10
I hope that i'm right.
Answered by
83
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