In Fig. 6, ABC is a right-angled triangle with AB 6 cm and AC 8 cm. Ac

1.	In Fig. 6, ABC is a right-angled triangle with AB 6 cm and AC 8 cm. Acircle with centre O is inscribed inside the triangle. Calculate the value of r,the radius of the inscribed circle.
Answer» In Given Triangle ABCAC2+ AB2= BC2BC2=(66)+(88)=100 Area of Triangle ABC= 8*6/2 =24 Cm2Semiperemetre of ABC= (8+6+10)/2 =12cm Radius of circle= Area Of Triangle /Semiperimeter of triangle = 24/12 = 2 cm Hence Radius of circle is 2 cmLike if you find it useful

In Fig. 6, ABC is a right-angled triangle with AB 6 cm and AC 8 cm. Acircle with centre O is inscribed inside the triangle. Calculate the value of r,the radius of the inscribed circle.

Answer»

In Given Triangle ABCAC2+ AB2= BC2BC2=(6*6)+(8*8)=100

Area of Triangle ABC= 8*6/2 =24 Cm2Semiperemetre of ABC= (8+6+10)/2 =12cm

Radius of circle= Area Of Triangle /Semiperimeter of triangle = 24/12 = 2 cm

Hence Radius of circle is 2 cmLike if you find it useful