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 ðŸ™‚

No, I’m not saying that. I thought it to be the 45-45-90 triangle with 1,1 & root 2 as the sides ðŸ˜¦

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 ðŸ˜€ Hence also the term legs, which I generally don’t use – the legs refers here to the two equal sides ‘standing’ on the base.

Minor correction in figure 1 brother …

Corrected, Ashish. Thanks for pointing out. I trust it is fine now? ðŸ™‚

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 ðŸ™‚

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 ðŸ™‚

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 ðŸ˜¦

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! ðŸ™‚ But you didn’t provide 0.5 as an answer option ðŸ˜€

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 ðŸ˜€ 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 ðŸ™‚ Thank you…

Regards ðŸ™‚

Harsh

shouldnt it be 22*2*11*9

Oops yes it should. Hence 66.

regards

J