Question

abc is right angle triangle with angle a=90a circle inscribed in it the length of the two sides containing the rights angle are 6 and 8 find the radius of the circle

Answer 1

given angle a=90° consider ab=6 units and ac =8units, the hypotenuse bc=10 units according to formula (ab-r) +(ac-r)=hypotenuse length where r is radius of in circle. (6-r)+(8-r)=10
14-2r =10
14-10=2r
4=2r
4/2=r
2=r