SSC CGL Exam > SSC CGL Questions > In a right angle triangle, the Hypotenuse is ...
Start Learning for Free
In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ?
Most Upvoted Answer
In a right angle triangle, the Hypotenuse is 2.125 times of one of Per...
Problem Statement: In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. Find the Circum-radius of the triangle?
Given:
To Find:
Solution:
Answer:
Given:
- Hypotenuse = 2.125 * Perpendicular Side
- In-radius + Perpendicular Side = 44 cm
To Find:
- Circum-radius of the triangle
Solution:
- Let the Perpendicular Side of the triangle be 'a'.
- Then, the Hypotenuse of the triangle = 2.125 * a
- Using Pythagoras Theorem, we have:
- a^2 + b^2 = c^2 (where c is the hypotenuse)
- a^2 + (2.125a)^2 = c^2
- a^2 + 4.515625a^2 = c^2
- c^2 = 5.515625a^2
- c = 2.35a (approx)
- The in-radius (r) of the triangle is given by:
- r = (Perimeter of triangle - Hypotenuse)/2
- r = (a + 2.125a + c)/2
- r = (3.125a + c)/2
- r = (3.125a + 2.35a)/2
- r = 2.7375a
- The sum of in-radius and Perpendicular Side is given by:
- r + a = 44
- 2.7375a + a = 44
- 3.7375a = 44
- a = 11.75 cm (approx)
- Substituting the value of a in the equation c = 2.35a, we get:
- c = 27.6625 cm (approx)
- The Circum-radius (R) of the triangle is given by:
- R = c/2
- R = 13.83125 cm (approx)
Answer:
- Circum-radius of the triangle = 13.83125 cm (approx)
Community Answer
In a right angle triangle, the Hypotenuse is 2.125 times of one of Per...
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Similar SSC CGL Doubts
Top Courses for SSC CGLView all
In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ?
Question Description
In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ?.
In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ?.
Solutions for In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? defined & explained in the simplest way possible. Besides giving the explanation of
In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ?, a detailed solution for In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? has been provided alongside types of In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? theory, EduRev gives you an
ample number of questions to practice In a right angle triangle, the Hypotenuse is 2.125 times of one of Perpendicular Sides the triangle. The sum of in-radius and that side is 44 cm. find the Circum-radius of the triangle ? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup