CBSE Class 9 Answered
if the diagonal of a parallelogram are equal,then show that it is a rectangle.
Asked by shubhras445 | 27 May, 2020, 01:22: PM
Expert Answer
Let ABCD be the parallelogram
Consider triangles ABC, BAD
AB=BA ... Common side
BC=AD ... Opp sides of llgm are equal
AC = BD ... Given
So triangles become cong by SSS rule.
Angle BAD = angle ABC ... CPCT
But sum of these angles is 180 as they are adjacent angles of llgm
So we can conclude that if each is equal to x
Therefore, 2x=180
Therefore, x=90
Thus ABCD is a parallelogram with one angle = 90 degrees
So, by the definition of parallelogram this is a rectangle.
Answered by Renu Varma | 28 May, 2020, 11:25: AM
Concept Videos
CBSE 9 - Maths
Asked by abhiroy1462 | 16 Apr, 2022, 02:25: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by abdullahzedane2008 | 28 Mar, 2022, 12:11: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by varundhawan | 31 Jan, 2022, 10:41: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by riya.yanamandra | 19 Oct, 2020, 06:45: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by shubhras445 | 27 May, 2020, 01:22: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by vivaangolank | 10 Nov, 2019, 10:47: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Rajeshparve | 25 Oct, 2018, 10:40: PM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by gspublicschool | 08 Sep, 2018, 06:04: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 17 Aug, 2017, 07:45: AM
ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 17 Aug, 2017, 07:45: AM
ANSWERED BY EXPERT