Mathematics
Construct an isosceles triangle ABC such that AB = 6 cm, BC = AC = 4 cm. Bisect ∠C internally and mark a point P on this bisector such that CP = 5 cm. Find the points Q and R which are 5 cm from P and also 5 cm from the line AB.
Locus
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Answer
Steps of construction :
Draw AB = 6 cm as base.
Make an arc of 4 cm from A and B. Take the point of intersection as C.
Join the points A, B and C to form △.
Make the angle bisector of C as in the figure.
Cut an arc from CZ of 5 cm and mark point P such that CP = 5 cm.
Make a line XY parallel to AB at a distance of 5 cm.
From point P make an arc of 5 cm cutting XY at Q and R.
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