Prove that the area of right-angled tria...

Prove that the area of right-angled triangle of given hypotenuse is maximum when the triangle is isosceles.

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6h (multiple Choice Questions)|10 Videos
APPLICATIONS OF DERIVATIVES
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6i (multiple Choice Questions)|10 Videos
APPLICATIONS OF DERIVATIVES
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6f|19 Videos
APPLICATIONS OF INTEGRALS
NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Show that in a right angled triangle, the hypotenuse is the longest side.

Find the largest possible area of a right angled triangle whose hypotenuse is 5cm long.

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

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

Find the largest possible area of a right angled triangle whose hypotenuse is 5 cm long.

Find the area of the right-angled triangle with hypotenuse 40 cm and one of the other two sides 24 cm.

Equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

Find the area of a right triangle with hypotenuse of 10 and side of 8

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6g

Find two numbers whose sum is 12 and the product of the square of one ...
Text Solution
|
Divide 15 into two parts such that product of square of one part and c...
Text Solution
|
(i) The two sides of a rectangle are x units and (10 - x) units. For w...
Text Solution
|
about to only mathematics
Text Solution
|
If the surface area of an open cylinder is 100 cm^(2), prove that it...
Text Solution
|
An open tank with a square base and vertical sides is to be constructe...
Text Solution
|
Show that the height of a closed right circular cylinder of given s...
Text Solution
|
The base of a cuboid is square and its volume is given. Show that its...
Text Solution
|
Show that the least cloth is required to construct a conical tent of g...
Text Solution
|
Show that the height of a cone of maximum volume inscribed in a sphare...
Text Solution
|
Find the area of the greatest isosceles triangle that can be inscri...
Text Solution
|
The volume of a closed square based rectangular box is 1000 cubic metr...
Text Solution
|
Show that height of the cylinder of greatest volume which can be in...
Text Solution
|
The sum of the perimeters of a square and a circle is given. Show that...
Text Solution
|
A square-based tank of capacity 250 cu m has to bedug out. The cost of...
Text Solution
|
The stiffness of a beam of rectangular cross-section varies as the pr...
Text Solution
|
The fuel charges for running a train are proportional to the square of...
Text Solution
|
The conbined resistance R of two resistors R,& R(2)(R(1),R(2) gt 0) i...
Text Solution
|
Prove that the area of right-angled triangle of given hypotenuse is...
Text Solution
|
A wire of length 28 m is to be cut into two pieces. One of the piec...
Text Solution
|