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प्रश्न
Draw the circumcircle of ΔPMT in which PM = 5.6 cm, ∠P = 60°, ∠M = 70°.
उत्तर
Step-1: construct the segment PM having length 5.6 cm and using protractor draw lines at the angles ∠P and ∠M which measures 60° and 70° respectively mark the intersection point as T thus ∆PMT is ready
Step-2: construct the perpendicular bisector of line PM by keeping the needle of compass at point P and taking approximately more than half of PM distance in compass draw arc above and below PM
Step-3: keeping the same measurement in compass keep the needle at point M and draw intersecting arcs above and below segment PM
Step-4: join the intersections of arcs to get a line ‘a’ which is the perpendicular bisector of segment PM.
Step-5: Similarly by repeating steps 3,4,5 construct a perpendicular bisector for line TM so instead of P substitute T and repeat steps 3,4,5 we will get a line ‘b’ perpendicular bisector of segment TM
Step-6: keep the needle of compass at point of intersection of the line a and b and from there take distance till any vertex of triangle PTM and construct the circle
The circle is required circumcircle to ∆PTM
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