SSC CGL Exam > SSC CGL Questions > If the sides of a right angled triangle are t...
Start Learning for Free
If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)
- a)3 units
- b)2 units
- c)4 units
- d)5 units
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If the sides of a right angled triangle are three consecutive integers...
Let the three sides are x, (x + 1) and (x + 2)
In a right angle triangle, sum of square of base and
height is equal to the square of hypotenuse
∴ (x + 2)2 = x2 + (x + 1)2
4x + 4 = x2 + 2x + 1
x2 – 2x – 3 = 0
(x – 3) (x + 1) = 0 ⇒ x = 3
Thus, three sides are x = 3 unit
x + 1 = 3 + 1 = 4 unit
x + 2 = 3 + 2 = 5 unit
Smallest side = x = 3 unit.
In a right angle triangle, sum of square of base and
height is equal to the square of hypotenuse
∴ (x + 2)2 = x2 + (x + 1)2
4x + 4 = x2 + 2x + 1
x2 – 2x – 3 = 0
(x – 3) (x + 1) = 0 ⇒ x = 3
Thus, three sides are x = 3 unit
x + 1 = 3 + 1 = 4 unit
x + 2 = 3 + 2 = 5 unit
Smallest side = x = 3 unit.
Free Test
FREE
| Start Free Test |
Community Answer
If the sides of a right angled triangle are three consecutive integers...
Let the three sides are x, (x + 1) and (x + 2)
In a right angle triangle, sum of square of base and
height is equal to the square of hypotenuse
∴ (x + 2)2 = x2 + (x + 1)2
4x + 4 = x2 + 2x + 1
x2 – 2x – 3 = 0
(x – 3) (x + 1) = 0 ⇒ x = 3
Thus, three sides are x = 3 unit
x + 1 = 3 + 1 = 4 unit
x + 2 = 3 + 2 = 5 unit
Smallest side = x = 3 unit.
In a right angle triangle, sum of square of base and
height is equal to the square of hypotenuse
∴ (x + 2)2 = x2 + (x + 1)2
4x + 4 = x2 + 2x + 1
x2 – 2x – 3 = 0
(x – 3) (x + 1) = 0 ⇒ x = 3
Thus, three sides are x = 3 unit
x + 1 = 3 + 1 = 4 unit
x + 2 = 3 + 2 = 5 unit
Smallest side = x = 3 unit.
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
If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer?
Question Description
If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? 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 If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer?.
If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? 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 If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer?.
Solutions for If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? 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 If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the sides of a right angled triangle are three consecutive integers, then the length of the smallest side is (SSC CHSL 2014)a)3 unitsb)2 unitsc)4 unitsd)5 unitsCorrect answer is option 'A'. Can you explain this answer? 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
|
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