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 givenmeasurements are possible? Is this true in case of every triangle?

Construct A PEN with PE = 4 cm, EN=5 cm and NP=3 cm. If you draw circl

1.	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 givenmeasurements are possible? Is this true in case of every triangle?
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?Solution1. Draw line PE=4PE=4cm using scale2. At point PP , taking PP as center draw ARC of radius 33cm3. 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.