In PQR such that angle P=50 degree and Q =60 degree and PQ =6.1 and construct its circumcircle.
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Answer:
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Given : P=50 degree and Q =60 degree and PQ =6.1
To Find : Construct triangle and its circum circle
Solution:
Step 1 : Draw a line segment PQ = 6.1 cm
Step 2 : Draw an angle of 50° at P on PQ using protractor and draw ray PX
Step 3 : Draw an angle of 60° at Q on PQ using protractor and draw ray QY
Step 4 : ray PX and QY intersects at R
ΔPQR is constructed
Step 5 : Draw perpendicular bisector of PR
Step 6 : Draw perpendicular bisector of QR
Step 7 : perpendicular bisector intersects at O
Step 8 : Using compass width = OP = OQ = OR and taking O as center draw circle.
Perpendicular bisector of PR :
Using suitable compass width and taking P as center draw arcs on both sides.
Keeping compass width same and taking R as center draw arcs on both sides such that it intersects arc drawn in previous step at M & N
Draw a line passing through M and N
Similarly draw Perpendicular bisector of QR :
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