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Construct ∆PEN with PE = 4 cm,

EN = 5 cm and NP= 3 cm. If you draw
circles instead of arcs how many points of
intersection do you get ? How many
triangles with given measurements are
possible ? Is this true in case of every
triangle ?


1.  Draw line PE=4cm using scale
2.  At point P , taking P as center draw arc of radius 3cm
3.  Draw a arc of radius  5cm taking E as center.Let both arc intersect at point N.
 4.  Join line EN and NP  using scale .

5.  If the circles are drawn they will intersect at another point bellow line PE.You will get congruent triangle. This is true for all triangles.
1 5 1
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