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Question
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.
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Solution
(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 point.
(ii) BP = 6·5 cm.
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(i) Construct a ΔABC, in which BC = 6 cm, AB = 9 cm and ∠ABC = 60°.
(ii) Construct the locus of the vertices of the triangles with BC as base, which are equal in area to ΔABC.
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