Question

Construct a triangle ABC in which BC = 4.5cm, B= 45° and
AB + AC = 8 cm.​

Answer 1

Answer:

Construct a line BC = 4.5 cm Construct ∠CBX = 45o From BX, cut the line segment BD which is equal to AB + AC = 8 cm Join the points CD Construct a perpendicular bisector of CD which meets BD at the point A In order to obtain the required triangle ABC join CA Justification: We know that A lies on CD which is the perpendicular bisector So we get AC = AD We know that BD = 8cm It can be written as BA + AD = 8cm So we get AB + AC = 8cm Therefore, △ ABC is the required triangle.

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