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Construct a △ ABC in which BC = 5cm, AB = 3.8cm and AC = 2.6cm. Bisect the largest angle of this triangle.

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Steps of Construction:

Construct line segment AC = 2.6 cm

Considering A as centre and radius 3.8cm, construct an arc

Considering C as centre and radius 5cm, construct an arc which intersects the previous arc at the point B

Join the points AB and BC

So we get △ ABC

From the figure we know that BC is the largest side of the triangle

BC = 5cm

We know that ∠A is the largest angle

Considering A as centre and any radius, construct and arc which intersects AB at point P and AC at point Q

Considering P as centre and radius more than half of PQ, construct an arc

Considering Q as centre and same radius, construct an arc intersecting the previous arc at the point R

Join AR and extend it

Therefore, ∠A is bisected by the ray AR.

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