Home
Class 12
MATHS
If the sum of the lengths of hypotenuse...

If the sum of the lengths of hypotenuse and a side of a right - angled trianle is given , show that the area of the triangle is maximum when the angle between them is `(pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
`thereforetheta=(pi)/(3)`
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE MCQ|12 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Very Short Answer Type Questions|20 Videos
  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

Similar Questions

Explore conceptually related problems

If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, show that the area of the triangle is maximum when the angle between these sides is pi/3dot

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the area of the triangle is maximum.

The sides of a right angle triangle from a G.P. the tangent of the smallest angle is

The sides of a right angled triangle are in A.P. ,' show that the sides of the triangle are proportional to the numbers 3,4,5

The lengths of the medians through acute angles of a right-angled triangle are 3 and 4. Find the area of the triangle.

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the sum of the sides maximum ,

If the sides of right angled triangle are in G.P then the cosines of the acute angle of the triangle are-

If the radius of the circumcenter of a right angle triangle is 12cm , then calculate the hypotenuse of the triangle.

If the radius of the circumcenter of a right angle triangle is 10cm , then calculate the hypotenuse of the triangle.

The total surface area of a right circular cone is given . Show that the volume of the cone is maximum when the semi-vertical angle is sin^(-1)(1/3) .