Construct a ∆ABC in which BC = 8 cm, angle B = 30° and AB −AC = 3.5 cm
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Step-by-step explanation:
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sol :- Given
to construct ΔABC, where BC=8cm,∠B=45
∘
and AB-AC = 3.5 cm.
Construction steps :-
(i) Firstly draw a line segment BC = 8 cm as a base.
(ii) Now mark ∠B=45
∘
and Extend to x.
(iii) Now take a radius of 3.5 cm and draw an arc from B.
(iv) Now join the arc to C and mark it as D .
(v) Now draw ⊥
lar
bisectors of DC and mark them as 'P' and 'Q'
(vi) Extend the ⊥
lar
bisector till 'X' and mark it as 'A' now join 'C' to 'A'.
(vii) Now, ΔABC is formed which is required.
(viii) Now , just by considering 1/2 of the radius and the angle make the axis and join them form 'B'
conclusion :-
Thus required Δ ABC with AB-AC = 3.5 cm ∠B=45
∘
and BC = 8 cm is constructed
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