Question

4. Can you construct triangles with the following measurements? (a) AB = 2 cm, BC = 3 cm, CA = 6 cm (b) AB = 5 cm, BC = 3 cm, CA= 6 cm (c) AB = 8 cm, BC = 8 cm, CA = 6 cm (d) AB = 12 cm, BC = 6 cm, CA = 6 cm
please don't write direct answers​

Answer 1

Step-by-step explanation:

First we draw a line segment BC=6 cm

With the help of compass, draw a curve from point B of 8 cm

Again draw a curve from point C of 5 cm

These both curves cut each other at a point, name it as A

Join AC and AB

Then, ABC is the required triangle

After that we bisect angles A,B and C

The bisectors of these three angles intersect at a point say O.

Then draw a circle taking O as the centre which touches all three sides f a triangle.

The resultant circle is the required circle and O is the incentre of triangle ABC.