`Prove that the mid-point of the hypotenuse of a right triangle is equidistant from its vertices.

Prove that the mid-point of the hypotenuse of right angled triangle is equidistant from its vertices.

Prove that the mid-point of the hypotenuse of right angled triangle is equidistant from its vertices.

Prove that the mid-point of the hypotenuse of right angled triangle is equidistant from its vertices.

Prove that the mid-point of the hypotenuse of right angled triangle is equidistant from its vertices.

Prove by vector method that the mid-point of the hypotentise of a right angles triangle is equidistance from the vertices.

Prove by the vector method that the mid-point of the hyptenuse of a right angled triangleis equidistant from the vertices of the triangle.OR

Using analytical method prove that the mid - point of the hypotenuse of a right angled triangle is equidistant from the three vertices .

In Fig. 14.40, a right triangle B O A is given. C is the mid-point of the hypotenuse A B . Show that it is equidistant from the vertices O ,\ A and B . (FIGURE)

In Fig.14.40, a right triangle BOA is given.C is the mid-point of the hypotenuse AB. Show that it is equidistant from the vertices O,A and B.( FIGURE)

What is the measure of the hypotenuse of a right triangle, when its medians, drawn from the vertices of the acute angles, are 5 cm and 2sqrt(10) cm long ?