Without using set squares or protractor, construct a triangle ABC in which AB = 4 cm, BC = 5 cm and ∠ABC = 120 ̊ .
(i) Locate the point P such that ∠BAP = 90 ̊ and BP = CP
(ii) Measure the length of BP.
(i) Draw ⊥ bisector of BC.Draw AP at A such that ∠PAB = 90 ̊ . The point of intersection P of bisector and AP is the required pint.
(ii) BP = 6.5 cm.