Yes it is, Avinash – if you notice, in the proof, we have not made any assumptions about the non-parallel sides; they could be equal or not, it doesn’t matter.
Think about it for a moment… Area = 1/2 * base * height. So if the heights are the same (as is the case here) area will be proportional to the base, correct?
Just go the Euclid way. Start with points/lines/planes and prove your way upwards through triangles, quads, polygons, circles and 3-D stuff. (Prove everything to yourself, else you won’t be able to apply it) Take a detour though trigo and co-geo at some point.
As to the latter query: possible, yes; easy, no. You might end up settling for something less than what you are capable of. I am assuming you have already filled the form, or else the question is moot 🙂 If you are already very strong in either English or Maths, go for it seriously; if you are moderate at best in both, then take 18 just for the experience and plan for 19 as the serious attempt.
Is this funda applicable to both Normal Trapezium and Isosceles Trapezium? Plz reply…
By Avinash on July 13, 2013 at 11:45 AM
Yes it is, Avinash – if you notice, in the proof, we have not made any assumptions about the non-parallel sides; they could be equal or not, it doesn’t matter.
regards
J
By catcracker on July 13, 2013 at 1:45 PM
Hello Sir,
Kindly please explain how we got the ratio of areas of two similar triangles as p^2 : q^2
By Akshatt Sharma on November 5, 2015 at 4:34 PM
Standard result for any two similar figures. See the post on similarity of triangles.
regards
J
By catcracker on November 5, 2015 at 5:14 PM
Can you please help me with the flow of studying “Geometry” for CAT. Am confused as i started with Trapezium.
How should i move step by step?
By akshatsha on November 12, 2015 at 12:16 PM
In 15 days? All I can say is “Good Luck”.
regards
J
By catcracker on November 12, 2015 at 12:21 PM
May i know which theorem is used for comparing AOB and AOD.How is their ratio are in p:q could you explain.
By JV on March 30, 2016 at 2:13 PM
Think about it for a moment… Area = 1/2 * base * height. So if the heights are the same (as is the case here) area will be proportional to the base, correct?
regards
J
By catcracker on March 30, 2016 at 6:23 PM
Hi J, Please help me with the flow of Geometry. Also wanted your suggestion if CAT 2018 is possible starting October for a CA
By Sweta on October 5, 2018 at 9:51 PM
Just go the Euclid way. Start with points/lines/planes and prove your way upwards through triangles, quads, polygons, circles and 3-D stuff. (Prove everything to yourself, else you won’t be able to apply it) Take a detour though trigo and co-geo at some point.
As to the latter query: possible, yes; easy, no. You might end up settling for something less than what you are capable of. I am assuming you have already filled the form, or else the question is moot 🙂 If you are already very strong in either English or Maths, go for it seriously; if you are moderate at best in both, then take 18 just for the experience and plan for 19 as the serious attempt.
regards
J
By catcracker on October 6, 2018 at 11:38 AM