Question

the length of side of an equilateral triangle is 8
centimetre find the area of a circle inscribed in the
equilateral triangle? hurry​

Answer 1

Answer:

Step-by-step explanation:

R.E.F image

Solution :-

We know equilateral triangle, perpendicular and

median us same so △ADC is right angle triangle.

Given AB=BC=CA=8cm,BD=DC=4cm

AC

2

=AD

2

+DC

2

8

2

=AD

2

+4

2

⇒AD=

64−16

​

=

48

​

=4

3

​

Now in a equilateral triangle centroid,circumcenter are the same and centroid divides the median in the ratio 2:1

∴AE=

3

2

​

AD

=

3

2

​

×4

3

​

=

3

8

3

​

​