Question

in triangle abc ab=20cm bc=21cm and ac=29cm find the radius of the circle touching all the sides of triangle abc
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Answer 1

Step-by-step explanation:

the radius touching the sides of triangle abc is 6 cm.

Answer 2

Radius is 6cm

Step-by-step explanation:

Formula of radius of circle touching all the sides of the triangle

r = Δ/s

where Δ = area of triangle

s = semi perimeter=$\frac{(a+b+c)}{2}$

$s=\frac{(20+21+29)}{2}=\frac{70}{2}=35$

Δ=$\sqrt{s(s-a)(s-b)(s-c)}$

=$\sqrt{(35)(35-20)(35-29)(35-21)}$

=210 sq units

r = $\frac{210}{35}$=6 cm

Therefore the radius is 6 cm.