Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

prove that of all parallelogram of given perimeter , a rectangle has the greatest area 
Asked by sinha.nid25 | 24 Feb, 2015, 06:16: PM
answered-by-expert Expert Answer

 begin mathsize 14px style In space square to the power of straight m space ABCD space of space sides space straight a space and space straight b comma space let space straight h space be space the space height space corresponding space to space the space base space straight a. Now space for space increment DAE comma space straight b space is space the space hypotenuse. space We space know space that space straight a space hypotenuse space is space the space longest space side space of space straight a space right space angle space triangle. therefore straight h space less than space straight b space space space space space space space space space space space space space space space space space space space..... space left parenthesis 1 right parenthesis Now comma Area space of space straight a space parallelogram space equals space ah Next comma Area space of space rectangle space equals space ab Then space using space left parenthesis 1 right parenthesis space we space have comma straight h space less than space straight b therefore ah space less than space ab therefore space Area space of space parallelogram space less than space Area space of space Rectangle Thus space straight a space rectangle space has space the space greatest space area space amongst space all space parallelograms. end style

Answered by | 24 Feb, 2015, 06:34: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 9 - Maths
add 2√3 +√5 and √3 - 3√5
question image
Asked by kulkarniridima6 | 09 May, 2024, 05:30: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
laxman saves 10% More than his expenditure and bhuwan spends 10% more than his savings if laxman savings is 10% more than bhuwan expenditure what is the ratio of incomes of laxman and bhuwa
Asked by rathorgaurav2945 | 21 Apr, 2024, 10:31: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
13. If x = (2 + sqrt(3)) find the value of x ^ 2 + 1/(x ^ 2)
Asked by monika.vns14 | 18 Apr, 2024, 05:15: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
3√5+√3/√5-√3
Asked by gulshanelectronics2017 | 15 Apr, 2024, 05:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
find the value of n in 7^2n+1÷49=7^3
Asked by tripura78839 | 12 Apr, 2024, 09:05: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
how to solve it
question image
Asked by singhanjali0199 | 12 Apr, 2024, 08:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
√2x^2+3x+√2
question image
Asked by killerstealer593 | 11 Apr, 2024, 07:50: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
x²-22x+120
Asked by rson0295 | 01 Apr, 2024, 08:55: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Draw the graph of the equation of line 2x + 3y = 6. Write the co ordinates of the point where the line intersects X-axis and Y-axis.
question image
Asked by saee.shinde3069 | 31 Mar, 2024, 10:12: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
locate √2 on number line
Asked by rathoreraj7296 | 31 Mar, 2024, 08:09: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×