# Cracking Nishit Sinha Problems on Quant LA and DI , A step more to bell the Cat.Quantitative Report

This is a thread dedicated entirely to the problems faced by CAT Aspirants solving Nishit Sinha's Quant and LA/DI Book.
This thread will help CAt aspirants to understand the Basic concepts thoroughly for those who are using the book and will also help others who are preparing for various MBA e...
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Ahuramazda i have just started preparing for CAT and simultaneously .... 01 Jun.
saginav Free webinar From Mr. Nishit Sinha: on ' Art of problem .... 13 Aug.
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@ashishyog

The sum of the lengths of the hypotenuse and one of the perpendicular sides of a right angled triangle is L. When the area of this triangle is maximum, the angle between the two sides is

Please provide the approach as well

1) 45 degrees

2) 22.5 degrees

3) 60 degrees

4) None of these Skip

let the three sides of the triangle be P,B and H.

p^2+B^2=H^2........eq1

A/Q P+H=L

so, H=L-P

substitute H in eq1

p=(L^2-B^2)/2L

area= 1/2*B*P

for Area to be max derivative will be 0.

which gives L^2=3*(B^2)

so, B = L/sqrt(3)

p=L/3

sin X=1/2

X=30 deg

hence ANS 4 None of these

The sum of the lengths of the hypotenuse and one of the perpendicular sides of a right angled triangle is L. When the area of this triangle is maximum, the angle between the two sides is
Please provide the approach as well
10 users have answered this question.
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Hi,Could anyone share some insight on the approach to solve this problem
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16 users have answered this question.