Question

How do you find the radius of a triangle?

Answer 1

Step-by-step explanation:

= K/s, where K is the area of the triangle and s is the semiperimeter (a+b+c)/2 (a, b and c being the sides).

Answer 2

Answer:

d

Step-by-step explanation:

Correct option is D)

Area of the triangle ABC

=

s(s−a)(s−b)(s−c)

,

where s=

2

1

(a+b+c) and AB=35,BC=75,CA=44

Therefore, △ABC=

77×(77−75)(77−44)(77−35)

cm

2

=

77×2×33×42

cm

2

=

7×11×2×3×11×2×3×7

=(7×11×2×3)=462

We have △ABC=△BOP+△COA+△AOB

Thus 463=

2

1

r(75+44+35)⇒r=6 cm

Therefore, radius of the circle is 6 cm.