Question

in the figure ABC is a right angle triangle right angled at a find the area of shaded region AB =6 centimetre BC =10 cM AC =8 centimetre 0 is a centre of a circle​

Answer 1

Answer:

given: Right angled at angle A

you have drawn right angle at angle B

Here now we have to find shaded region so first we will have to find the radius of the circle

When any circle is inscribed in a triangle so the formula of radius will be:

(r) = base + altitude - hypotenuse / 2

=AB + AC - BC / 2

=6 + 8 - 10 / 2

= 4 / 2

= 2 cm

the area of shaded region = area of triangle - area of circle

= 1 / 2 × base × altitude - pie × r^2

=1 / 2 × AB × AC - 22 / 7 × 2 × 2

= 1/2 × 6×8 - 88/7

= 24 - 88/7

= 24 - 12.5

= 11.5 cm^2