..a very simple problem ..but different answers by different methods..
(see attached fig).
There is a triangle abc and an incircle to the triangle with radius 4cm.
The area of the triangle is given to be 84 cm^2
The base bc is divided by the radius into 6cm , 6cm
ab = ac
We need to find the value of these sides (ab or ac)
Methods of solving :
1)By using the pythagoras theorm, the answer comes to be appproximately 15 ( sqrrt(232) which is ~15
2)while by using area (1/2bh) the answer comes to be exactly 15..
what tis the reason for this difference?