Question

construct a triangle ABC whose height is 5 cm Angle B equal to 60 degree and Angle c equal to 45 degree measure the length of base BC​

Answer 1

ΔABC is Constructed whose height is 5 cm  ∠B = 60° ∠C = 45°

Step-by-step explanation:

Draw  a  Line   AM  =  5 cm  Height

AM ⊥ BC

∠B = 60°

=> ∠MAB = 30°

∠C = 45°

=> ∠MAC = 45°

Draw angle ∠MAB = 30° & ∠MAC = 45° using protector

Draw perpendicular on AM at M and extend both sides to intersect angle earlier drawn at B & C

join BC

ΔABC is Constructed

BC = BM + CM

CM = AM  ( as ∠CAM = ∠AMC = 45°)

Tan60 = AM/BM

=> BM = 5/√3

AB = 5 +  5/√3 ≈ 7.9

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