find the area of the largest rectangle that can be inscribed in an isosceles triangle of base10ft. and area 30 square ft


 

2 years ago

Share

Answers : (1)

                    

Thats 15 sq. feet (according to me)


let the length of the part of base, not included in side of Rectangle be X both side and the vertical side length be Y......


 


Now the rectangle has side lengths, Y and 10-2X.......


now use similar triangle property to find relation b/w Y and X


i.e. Y=6X/5


Hence area = XxY = 6X/5x(10-2X)


Use dA/dX=0 to get X=5/2


Therefore, A=15................Cool

2 years ago

Post Your Answer

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
If the pth and qth terms of an AP be a and b respectively, show that the sum of the first (p+q) terms of the AP is (p+q)/2{a+b+(a-b/p-q)}
 
 
Hello Student, Now its obvious. Substitute the values to get the answer. Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 23 days ago
how the finding of rank of any matrix useful to us ? @@@@@@@@@@@
 
 
importance can be understood as the "size of the largest non-zero minor"
  img
sudhir pal 5 months ago
 
If we have simulate of rows and coloum then find the rank
  img
SADDAM NAFEES 5 months ago
 
i am asking that how it is useful in finding solutions for system of equations.
 
anilsai 5 months ago
Find the real values of the parameter ‘a’ for which atleast one complex number z =x+iysatisfies both the equality | z- ai | = a+4 and the inequality | z-2 |
 
 
Hello Student, Please find the answer to your question below [|z-ai| = a + 4] [|z-2| < 1] For these two to have atleast one solution, then both circles must intersect [|x+iy-ai| = a+4]...
  img
SHAIK AASIF AHAMED 2 days ago
Determine a such that x2-11x+a and x2-14x +2a may have a common factor.​
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 23 days ago
A straight line through p(2,3) inclined at an angle 60 degrees with positive y axis in clockwise direction.The co-ordinates of one of the points on it at a distance 4 units from P is.?
 
 
solution: as shown.. the equn of the line (x – x 1 ) / cos A = ( y – y 1 ) / sin A = R where A = angle of inclination with X-axis R = distance of the point on the line so ( x...
  img
Ajay Verma 6 days ago
how to calculate tan 15 degree value
 
 
tan15=tan(45-30) =(tan45-tan30)/1+tan45tan30 =(1-1/sqrt3)/1+1/sqrt3 =sqrt3-1)/sqrt3+1 =(sqrt3-1)(sqrt3-1)/2 =(4-2sqrt3)/2 =2-sqrt3 Thanks & Regards Rinkoo Gupta AskIITians Faculty
  img
Rinkoo Gupta one month ago
 
Ans: Thanks & Regards Jitender Singh IIT Delhi askIITians Faculty
  img
Jitender Singh one month ago
View all Questions »