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

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

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

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

The 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 the triangles on the other two sides. OR In the given figure, PA, QB and RC are each perpendicular to AC. Prove that 1/x+1/z=1/y

The perimeter of right-angled triangle is 30 cm and its hypotenuse is 13 cm. Find the other two sides.

If the sides of a right angled triangle are in A.P then the sines of the acute angles are

Prove that "In a right angled triangle the square of hypotenuse is equal to the sum of the square of the other two sides".

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