CBSE Class 10 Answered
ABCD IS A TRAPEZIUM SUCH THAT AB IS PARALEL TO CD AND THE DIAGNLS INTERSECT AT A POINT 0.IF OD=5CM, OB=7CM,AC=18CM, THEN THE DIFFERENCE BETWEEN THE LENGHTS OF OA AND OC IS EQUAL TO 1)3CM 2)6CM 3)8CM 4)12CM
Asked by seeni2005 | 21 Aug, 2020, 09:18: AM
In triangle OAB and triangle OCD,
Angle AOB = Angle COD ... (Vertically opposite angle)
Angle OAB = Angle OCD ... (Alternate angles)
So, triangle OAB is similar to triangle OCD ... (by AA similarity test)
Using the property of similarity i.e. corresponding sides of similar triangles are proportional, we have
![OA over OC equals OB over OD equals 7 over 5
rightwards double arrow OA over OC equals 7 over 5
rightwards double arrow OA equals 7 over 5 OC
AC equals AO plus OC equals 7 over 5 OC plus OC equals 12 over 5 OC
18 equals 12 over 5 OC
rightwards double arrow OC equals 15 over 2 equals 7.5 space cm
OA equals 7 over 5 cross times 15 over 2 equals 21 over 2 equals 10.5 space cm
Difference space between space OA thin space and space OC thin space equals space OA minus OC equals 10.5 minus 7.5 space equals space 3 space cm](https://images.topperlearning.com/topper/tinymce/cache/cc4a05bd11945edc60e13a660d582418.png)
Answered by Renu Varma | 21 Aug, 2020, 11:17: AM
Application Videos
Concept Videos
CBSE 10 - Maths
Asked by bhu.joshi54 | 16 Jun, 2022, 19:56: PM
CBSE 10 - Maths
Asked by psinghaladv | 05 Oct, 2021, 19:49: PM
CBSE 10 - Maths
Asked by akssrhsundaram | 27 Sep, 2021, 07:17: AM
CBSE 10 - Maths
Asked by bassichtmlpage | 26 Mar, 2021, 10:18: AM
CBSE 10 - Maths
Asked by nihalpinki123 | 06 Oct, 2019, 09:55: AM
CBSE 10 - Maths
Asked by chaudhurisrijani | 08 Sep, 2019, 01:12: AM
CBSE 10 - Maths
Asked by rizwan2959 | 21 Oct, 2018, 00:49: AM
CBSE 10 - Maths
Asked by vikasg13.hardware | 30 Jun, 2018, 12:01: PM
CBSE 10 - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM
CBSE 10 - Maths
Asked by Topperlearning User | 04 Jun, 2014, 13:23: PM