Question

Construct A 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?
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Answer 1

Answer:

onstruct ΔPENΔPEN with PE=4 cm, EN=5 cmPE=4 cm, EN=5 cm and NP=3 cmNP=3 cm. If you draw circle 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?

Solution

1.  Draw line PE=4PE=4cm using scale

2.  At point PP , taking PP as center draw arc of radius 33cm

3.  Draw a arc of radius 55cm taking EE as center.Let both arc intersect at point NN. 

4.  Join line ENEN and NPNP  using scale .

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