Question

Construct a triangle ABC in which BC = 4 cm, $\angle A={50}^{\circ }$ and the altitude through A is of length 3 cm How many such triangles are possible? Take any one of the triangles and draw its incircle Write the steps of construction

Answer 1

R.E.F image

$\angle A={50}^{\circ }$

$\frac{BC}{sinA}=2R$

$\frac{4}{sin50}=2R$

$R=\frac{2}{sin50}$

Now construct a circle of diamet 2R

and divide into 3 equal part

and join the points. it the AB what

you have gotten is of length $4cm$ than

a $\Delta$ exist otherwise Not

In this case there is NO $\Delta$