Home
Class 12
MATHS
Prove that the area of a right-angled tr...

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

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Multiple Choice Questions)|15 Videos
  • CIRCLE

    CHHAYA PUBLICATION|Exercise Exercise 3 (Very Short Answer Type Questions)|18 Videos
  • CALCULUS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2014)|2 Videos
  • COMPLEX NUMBER

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTION FOR COMPETITIVE EXAMS(Multiple Corrrect Answer type)|11 Videos

Similar Questions

Explore conceptually related problems

Show that a right triangle of given hypotenuse has maximum area, when it is an isosceles triangle.

In a right -angled triangle, prove that r+2R=S.

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

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

Equilateral triangles are drawn on the three sides of a right angled 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.

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)

The perimeter of a right-angled triangle is 60 cm and hypotenuse is 26 cm. Find the lengths of its other two sides.

Adhir has drawn a right-angled triangle whose length of hypotenuse is 6 cm more than the twice of the shortest side. If the length of the third side is 2 cm less than the length of the hypotenuse, then calculate the lengths of the three sides of the right-angled triangle drawn by Adhir.

If the bisector of an angle of a triangle also bisects the opposite side, prove that the triangle is isosceles.