Question

can we form triangle with sides 6cm, 7cm, 8cm​

Answer 1

Step-by-step explanation:

Let AB =6, AC = 7 and BC = 8 cm

Since BC is the largest side, A is the largest angle.

Let angular bisector of A meet BC at D.

We need to find lengths of BD, DC and hence the shortest segment.

As per the angular bisector theorem

BD / DC = AB / AC

So BD / DC = 6 / 7

Now BD + DC = BC = 8

Solving we get,

BD = 48/13 cm, DC = 56/13 cm or

3.69 cm and 4.31 cm respectively