Request a call back

Diagonals of a parallelogram intersect each other at point O If AO=5,BO=12 and AB=13 then show that quadrilateral ABCD is a rhombus
Asked by Rajeshparve | 25 Oct, 2018, 10:40: PM Expert Answer Consider triangle AOB,
AO = 5 cm, BO = 12 cm
AO2 + BO2 = 52 + 122
= 25 + 144
= 169
= 132
As, AO2 + BO2 = AB2
Hence, using converse of Pt=ythagoras theorem triangle AOB is right angle triangle.
So, diagonals are perpendicular to each other. Hence, ABCD is a rhombus.
Answered by Sneha shidid | 26 Oct, 2018, 10:08: 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