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Standard VI

Mathematics

Circumcircle

Construct a t...

Question

Construct a triangle $A B C$ , having given $A B = 5.2$ cm and $B C = 4.8$ cm and $∠ B = 60^{0}$ . Draw the perpendicular bisectors of the sides $B C$ and $C A .$ If these bisectors meet at $O;$ then find the lengths of $O A$ and $O B$ each (in cm.).

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Solution

Draw $A B = 5.2 c m$ and at B draw an angle of $60 °$
Cut an arc of $4.8 c m$ from B to get point C
Join $A, B, C$ to get $△ A B C$
Draw perpendicular bisectors of $A C$ and $B C$
Measure $O A$ and $O B$

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Construct a triangle ABC, having given AB=5.2 cm and BC=4.8 cm and ∠B=600. Draw the perpendicular bisectors of the sides BC and CA. If these bisectors meet at O; then find the lengths of OA and OB each (in cm.).

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Cut an arc of $4.8 c m$ from B to get point C
Join $A, B, C$ to get $△ A B C$
Draw perpendicular bisectors of $A C$ and $B C$
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