a. Draw a triangle with lengths of sides
6 cm, 8 cm and 7 cm.
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Step-by-step explanation:
In triangle ABC , AB=6 cm. , AC = 7 cm. and BC=8 cm. Angle bisector AD of
largest angle A meets the BC at point D. , therefore:-
BD/DC = AB/AC.
or. BD/DC = 6 cm./7 cm.
or BD/DC= 6/7. , BD : DC = 6 : 7.
Let length of BD= 6.k cms. then length of DC=7.k cms.
But BD+DC = BC.
or. 6.k+7.k = 8.
or 13.k =8 => k= 8/13.
Length of shorter segment BD = 6.k = 6×(8/13) = 48/13 = 3.69 cm. Answer.
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