Request a call back

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

CBSE Class 9 Answered

ABC and ABD are on the same base AB. If line segment CD is bisected by AB at O, show that ar (ABC) = ar(ABD)
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

ABC and ABD are on same base AB

O is the mid point of CD (Given)

In ACD, AO is the median

ar (AOC) = ar (AOD) ...(I)

[Median divides a triangle into two triangles of equal area]

In BCD, BO is the median

ar (BOC) = ar (DOB) ...(II)

Adding I and II

ar(AOC) + ar(BOC) = ar(AOD) + ar (DOB) ...(III)

From III, ar (ABC) = ar(ABD)

Answered by | 04 Jun, 2014, 03:23: PM

Application Videos

CBSE 9 - Maths
Asked by bascaljoseph | 07 Feb, 2023, 01:27: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by deepakumaraiya200 | 30 Jun, 2020, 09:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by kishor.kp14 | 15 Dec, 2019, 05:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by ravinderchoudhary0486 | 06 Dec, 2019, 10:59: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by kumarvsteel477 | 12 Sep, 2019, 08:22: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by phukansayan5 | 28 Aug, 2019, 06:16: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by arunpssac | 19 Aug, 2019, 07:02: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by bhardwajvishesh2004 | 28 Nov, 2018, 04:18: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×