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in Constructions by (44.3k points)

Construct a △ ABC whose perimeter is 11.6cm and the base angles are 45° and 60°.

1 Answer

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Best answer

Steps of construction:

Construct a line segment PQ = 11.6cm

Draw a 45o and bisect it to obtain ∠NPQ

Draw a 60o and bisect it to obtain ∠MQP

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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