I’m having a problem in visualising the last problem. Can we not think of that as a right-angled isosceles triangle? If yes, then the area will be 1/2 * 1 * 1 = 1/2?
Also, medians to the legs: does this mean that medians are drawn from the base vertices (say Q & R from the second question)?
Because it is NOT right-angled. Are you saying that the only isosceles triangle possible with a given base is the right-angled one? If so, then your visualization is flawed, dost 🙂
No, I’m not saying that. I thought it to be the 45-45-90 triangle with 1,1 & root 2 as the sides 😦
Which is why the rt 2 was probably given – to mislead you into thinking that! Remember that the typical CAT examiner is well aware of likely mis-assumptions you might make…and has no compunctions about using them against you! Keep an open mind…
The reason for that is that it is not my (original) question – it is one I came across over the years. Had I set it, I would most definitely have included a 0.5 😀 Hence also the term legs, which I generally don’t use – the legs refers here to the two equal sides ‘standing’ on the base.
CAT-holics 
Minor correction in figure 1 brother …
Corrected, Ashish. Thanks for pointing out. I trust it is fine now? 🙂
regards
J
Hello J,
I’m having a problem in visualising the last problem. Can we not think of that as a right-angled isosceles triangle? If yes, then the area will be 1/2 * 1 * 1 = 1/2?
Also, medians to the legs: does this mean that medians are drawn from the base vertices (say Q & R from the second question)?
Regards 🙂
Harsh
Because it is NOT right-angled. Are you saying that the only isosceles triangle possible with a given base is the right-angled one? If so, then your visualization is flawed, dost 🙂
regards
J
No, I’m not saying that. I thought it to be the 45-45-90 triangle with 1,1 & root 2 as the sides 😦
Which is why the rt 2 was probably given – to mislead you into thinking that! Remember that the typical CAT examiner is well aware of likely mis-assumptions you might make…and has no compunctions about using them against you! Keep an open mind…
regards
J
Right! 🙂 But you didn’t provide 0.5 as an answer option 😀
I didn’t get the medians to the legs… what does this mean?
The reason for that is that it is not my (original) question – it is one I came across over the years. Had I set it, I would most definitely have included a 0.5 😀 Hence also the term legs, which I generally don’t use – the legs refers here to the two equal sides ‘standing’ on the base.
regards
J
Haha! Very good 🙂 Thank you…
Regards 🙂
Harsh
shouldnt it be 22*2*11*9
Oops yes it should. Hence 66.
regards
J