Question

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 ?

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. join line EN and NP.
If the circles are drawn they will intersect at another point. This is true for all triangles.