Using vector method prove that in a right angled teriangle, the midpoint of the hypotenuse is equidistance from the vertices of the triangle.

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

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.

In a triangle locate a point in its interior which is equidistant from all the sides of the triangle.

In a right angles triangle, prove that r+2R=s.

ABC is a triangle. Locate a point in the interior of triangle ABC which is equidistant from all the vertices of triangle ABC

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.

The perimeter of a right triangle 60 cm. If its hypotenuse is 25 cm, find the area of the triangle.

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

Find the equation of one of the sides of an isosceles right angled triangle whose hypotenuse is given by 3x + 4y =4 and the opposite vertex of the hypotenuse is (2,2) .

If a, b, c are the side of a right triangle where c is the hypotenuse, prove that the radius of the circle which touches all the side of the triangle is given by r= (a+b-c)/2 .