Let a b c be the sides of a right triangle where c is the hypotenuse The radius of the circle which ...........

Quantitative Aptitude (CDS) Mensuration 2D

Let a, b, c be the sides of a right triangle, where c is the hypotenuse. The radius of the circle which touches the sides of the triangle is

(a + b - c) /2

(a + b c) /2

(a +2b + 2c) /2

(2a +26 - c) /2

Let the radius of the in circle be r.

Let the circle touches the sides BC,CA,AB of the right triangle ABC at

D,E and F respectively, where BC=a, CA=b and AB=c.

Then, AE=AF and BD=BF. Also CE=CD=r.

b-r =AF, a-r=BF

or AB =c=AF+BF = b-r+a-r
r=(a+b-c)/2

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