Question

Construct a triangle ABC in which BC = 4.5cm , angle C = 45° and sum of sides AB and AC = 8cm. Justify your construction.
pls sove this​

Answer 1

Step-by-step explanation:

Steps of Construction: 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

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