Question

Construct a triangle if its perimeter is 10.4 cm and two angles are 45° and 120°. Also justify your construction.​

Answer 1

Answer:

Step of construction:

Construct a line segment PQ=10.4 cm

Draw a 45 ^o

and bisect it to obtain ∠NPQ

Draw a 120 ^o

and bisect it to obtain ∠MPQ

Rays PN and QM intersect at the point A

Draw the perpendicular bisectors of PA and QA which intersects

PQ at the points B and C

Join the point AB and AC

Therefore, △ABC is the required triangle.

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