Question

ABC is a right triangle right angled at B such that BC equal to 6 cm and a b equal to 8 cm find the radius of its incircle

Answer 1

Hey mate...

area of triangle ABC=Area of triangle BOC+ area of triangle AOC+ area of AOB

1/2×8×6=
$1 \div 2 \times x \times 6 + 1 \div 2 \times 10 \times x + \\ 1 \div 2 \times x \times 8$

=
$= 3x + 5x + 4x$
$so.....24 = 12x$

$x = 2cm$