Question

A triangle ABC in which BC = 5 cm angle C= 30 degree and AC - AB =3.8 cm. Can you construct this triangle. Justify your statement also.

Answer 1

Answer:

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

Medium

Construct line segment AC=2.5 cm

Considering A as centre and radius 3.8 cm construct an arc

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

Join the point AB and BC

So we get △ABC

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

BC=5 cm

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.