Question

The coordinates of two vertices of one of the sides including the right angle
of an isosceles right angled triangle are (0,0) and (4,0). The length of the
hypotenuse of the triangle is​

Answer 1

Length of median through the vertices have right angle is 2.5.

Explanation:

Two vertices join the hypotenuse of the right angle triangle are O(0,0) and A(3,4) as shown in attachment.

We need to find the length of median through the vertices of right angle at B.

Distance of median = d

First we find the mid point of OA

Coordinate of vertices of right angle at B is (3,0)

Now we find the distance d between two points M and B using distance formula.

Thus, Length of median through the vertices have right angle is 2.5.