Trigonometric Equations Question 91

Question: If the sides of triangle are 13, 14, 15, then the radius of its incircle is

[EAMCET 1987]

Options:

A) $ \frac{67}{8} $

B) $ \frac{65}{4} $

C) 4

D) 24

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ s=\frac{1}{2}(a+b+c)=21 $ $ \Delta =\sqrt{[s(s-a)(s-b)(s-c)]}=84 $ ;
    $ \therefore $ $ r=\frac{\Delta }{s}=4 $ .