Question

Construct ∆PEN with PE = 4 cm EN = 5 cm and NP= 3 cm. If you draw circles instead of arc's how many points of intersection do you get ? How many triangles with given measurements are possible ? Is this true in case of every triangle ?

Answer 1

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.

Answer 2

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