Construction of Triangle When Two Sides and Included Angle is Given
Construct a t...
Question
Construct a triangle ABC in which BC = 6 cm, ∠B=45∘ and AB - AC = 2.5 cm.
Steps of construction:
Step 1: Draw BC = 6 cm.
Step 2: Construct ∠YBC=45∘. Step 3 will be -
A
Join AC,ΔABCis the required triangle.
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B
Draw perpendicular bisector of CD intersecting BY at A.
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C
From ray BY, cut-off line segement BD = 2.5 cm.
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D
Join CD.
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Solution
The correct option is CFrom ray BY, cut-off line segement BD = 2.5 cm.
Step 3: From ray BY, cut-off line segement BD = 2.5 cm.
Step 4: Join CD. Step 5: Draw perpendicular bisector of CD intersecting BY at A.
Step 6: Join AC,ΔABCis the required triangle.