Question

if the figure ABC is a right triangle right angled at B with sides 8cm and 6cm,then find the length of EC​

Answer 1

Step-by-step explanation:

Given

BC=6 cm

AB=8 cm

We know that in right angle triangle is

AC

2

=AB

2

+BC

2

AC

2

=8

2

+6

2

AC

2

=64+36

AC

2

=100

AC=10 cm

Now

Area of △AN= Area of △OAB+ Area of △OBC+ Area of △OCA

⇒

2

1

×BC×AB=

2

1

×r×AB+

2

1

×AC×r+

2

1

×BC×r

⇒

2

1

×6×8=

2

1

×8×r+

2

1

×10×r+

2

1

×6×r

⇒24r=48

⇒24r=48

⇒r=2 cm

Thus the radius of the circle is 2 cm

solution