Construct a triangle whose sides are 3.6 cm, 3.0 cm and 4.8 cm. Bisect the smallest angle and measure each part.


Steps of Construction:


(i) Draw a line segment AB = 3.6 cm.



(ii) Draw an arc with A as centre and 3.0 cm as radius and draw another arc with B as centre and 4.8 cm as radius to intersect each other at C. Join AC and BC.



Thus, we get the required triangle ABC.


On measuring all the angles, we get



A = 93°, B = 38.6° and C = 48.4°


Here, the smallest angle is C.


Draw the angle bisector of C. It intersects at A’.



Hence, A’C = 3.5 cm, A’B = 2.5 cm and BC = 4.8 cm.


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