daisuke123 wrote:
dayavenket wrote:
The 3 sides of a right angle triangle = 6,8,10
Radius of a circle inscribed in the right triangle r = (a+b-c)/2 where c is the hyp and a and b are other two sides.
On substituting: (6+8-10)/2
r = 2
Its a time saver!
is this a legit formula?
Yes, You can derive this equation easily. Find enclosed the picture.
If r be the radius of the inscribed circle, then the red length on the vertical edge is given by a−r; similarly the blue length on the horizontal edge is given by b−r.
Using the property that tangential distances are equal we get a−r+b−r=c.
=> a+b−2r = c or r=(a+b−c)/2
Hope this helps!
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