AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

In the given figure, ABC is a right-angled triangle, right angled at A with AB = 6 cm and AC = 8 cm. A circle with center O has been inscribed inside the triangle. Calculate the value of r, the radius of the inscribed circle.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

8 cm

6 cm

4 cm

2 cm

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that

△ A B C

is a right-angle triangle with AB = 6cm and AC = 8 cm
We have to find the value of r.
In fig. 4 triangle ABC is a right triangle with AB = 6 cm, AC = 8 cm and A = 90^â . A circle with center O is inscribed inside the triangle. Find the radius 'r'

In fig. 4 triangle ABC is a right triangle with AB = 6 cm, AC = 8 cm and A = 90^â . A circle with center O is inscribed inside the triangle. Find the radius 'r'

By Pythagoras theorem, for a right-angle triangle

A B C, A C 2 = A B 2 + B C 2

where AC is the hypotenuse of

△ A B C .

In triangle ABC,

BC 2 =AB 2 +AC 2 BC= 82 +6 2 = 64+36 = 100

Therefore, B C= 10 cm.
Determine the value of r.

Area of VOAC+ Area of VOAB+ Area of VOBC = Area of VABC 12 ×8×r + 12 ×6×r + 12 ×10×r = 12 ×8×6 4r+3r+5r=24 r=2

The value is, r = 2cm
Therefore, the correct option is 1.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!