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Question

In triangle ABC, given below, AB=8cm, BC=6cm and AC=3cm. Calculate the length of OC.
1061943_7def606dd65f4c2ebb62fe9c69590871.png

A
2cm
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B
3.32cm
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C
1.58cm
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D
1cm
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Solution

The correct option is C 1.58cm
InABO:
AB2=AO2+BO2
82=AO2+(6+CO)2
AO2+(6+CO)2=64(1)
InACO
AO2+OC2=AC2
AO2=9CO2(2)
putting(2)in(1)
9CO2+(6+CO)2=64
9CO2+36+CO2+12CO=64
45+12CO=64
12CO=19
CO=1912=1.58cm

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