Question

In triangle, Ab =20cm , Bc=21cm,Ac =29cm. Find the radius of the circle touching all the sides of triangle ABC

Answer 1

Answer:

Radius of the circle will be 6 cm

Step-by-step explanation:

In triangle, Ab =20cm , Bc=21cm,Ac =29cm.

These are three different sides now

First find the value of s to find the area of this triangle

s=(Ab+Bc+Ac)/2=(20+21+29)/2=70/2=35

Area=Square root(s(s-a)(s-b)(s-c))

=Square root (35(35-20)(35-21)(35-29))

Area=210

Now

Area =(r/2)(Ab+Bc+Ac)

210=(r/2)(20+21+29)

210=(r/2)(70)

210=r35

r=210/35=6cm