CAT Exam > CAT Questions > ABC is a right triangle with integer sides ri...
Start Learning for Free
ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).
- a)12
- b)24
- c)36
- d)48
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
ABC is a right triangle with integer sides right angled at B, If the r...
The area of the triangle can be calculated using 
Where r = in radius and R is the Circumradius .
a,b,c are the sides of the right angled triangle with c being the hypotenuse .
or we need use the formulae for
The length of the hypotenuse is twice the Circum radius =c = 2R = 10cm.
In a right angled triangle a2 + b2 = c2
The area of the triangle is 1/2*(a)*(b) =area
2 = (1/2*(a)*(b)(/a+b+c)/2) = a+b+10 = ab/2
ab-2a-2b-20 = 0.
(a-2)(b-2) = 24 .
and we know that a2 + b2 = c2. = 100
Now (a-2)(b-2) = 24
24 = 1*24
so a = 3 , b = 26 but 3,26,10 cannot form a right triangle .
24 = 2*12
so a = 4 and b = 14
Now (4,14,10 ) also cannot form a right triangle.
24 = 3*8
so a = 5 and b = 10
Now (5,10,10) also cannot form a right triangle
24 = 4*6
a = 6, b = 8
Now we know that (6, 8, 10) is a right triangle such that 10^2 = 6^2 + 8^2
so we get sides as 6, 8 and 10 cm
Now area = (1/2) × 6 × 8 = 24cm2
Where r = in radius and R is the Circumradius .
a,b,c are the sides of the right angled triangle with c being the hypotenuse .
or we need use the formulae for
The length of the hypotenuse is twice the Circum radius =c = 2R = 10cm.
In a right angled triangle a2 + b2 = c2
The area of the triangle is 1/2*(a)*(b) =area
2 = (1/2*(a)*(b)(/a+b+c)/2) = a+b+10 = ab/2
ab-2a-2b-20 = 0.
(a-2)(b-2) = 24 .
and we know that a2 + b2 = c2. = 100
Now (a-2)(b-2) = 24
24 = 1*24
so a = 3 , b = 26 but 3,26,10 cannot form a right triangle .
24 = 2*12
so a = 4 and b = 14
Now (4,14,10 ) also cannot form a right triangle.
24 = 3*8
so a = 5 and b = 10
Now (5,10,10) also cannot form a right triangle
24 = 4*6
a = 6, b = 8
Now we know that (6, 8, 10) is a right triangle such that 10^2 = 6^2 + 8^2
so we get sides as 6, 8 and 10 cm
Now area = (1/2) × 6 × 8 = 24cm2
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Top Courses for CATView all
ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer?
Question Description
ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer?.
ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer?.
Solutions for ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer?, a detailed solution for ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice ABC is a right triangle with integer sides right angled at B, If the radius of the circumcircle of ABC is 5cm and the radius of the incircle of ABC is 2cm. What is the area of triangle ABC (in sq cm).a)12b)24c)36d)48Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup