Show that in right angled traingle, the hypotenuse in the longest side.

In a right angled triangle, the hypotenuse is the greatest side.

Prove by vector method, that in a right angled triangle the square of h the hypotenuse is equal to the sum of the square of the other two sides.

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.

Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5,-4) . Then the coordinates of the circumcenter are (1,2)dot Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle.

The hypotenuse of a right angled triangle has its ends at the points (1, 3) " and " (-4, 1) . Find an equation of the legs (perpendicular sides) of the triangle.

If a perpendicular is drawn to the hypotenuse of a right angled triangle, then each of the three pairs of triangles formed are ________.

Find the area of a right triangle whose hypotenuse is 10cm and one of the acute angle is 24 ^(@)24'

Find the area of a right triangle whose hypotenuse is 10 cm and one of the acute angle is 24^(@) 24'.

If the hypotenuse of a right-angled triangle is four times the length of the perpendicular drawn from the opposite vertex to it, then the difference of the two acute angles will be 60^0 (b) 15^0 (c) 75^0 (d) 30^0