Using a ruler and a pair of commpasses only construct a triangle ABC in which |AB|=10cm,angle ABC=60 degrees and angle BAC=75degrees .I)the locus l1 of points equidistant from AB and AC ii) the locus l2 of points equidistant from AB and BC .b)locate the points of intersection of l1 and l2 as O and with O as the center and radius OD ,draw a circle.

Question

Using a ruler and a pair of commpasses only construct  a triangle ABC in which |AB|=10cm,angle ABC=60 degrees and angle BAC=75degrees .I)the locus l1 of points equidistant from AB and AC ii) the locus l2 of points equidistant from AB and BC .b)locate the points of intersection of l1 and l2 as O and with O as the center and radius OD ,draw a circle.

oobleck · Answer

i) the angle bisector of BAC ii) angle bisector of ABC