If two vertices joininig the hypotenuse of a right angled triangle are (0,0) and (3,4), then the length of the median through the vertex having right angle is-

Question

If two vertices joininig the hypotenuse of a right angled triangle are (0,0) and (3,4), then the length of the median through the vertex having right angle is- (A) 3 (B) 2 (C) 5 / 2 (D) 7 / 2

Tardigrade Admin · Accepted Answer

In triangle A B C right angle at B we have BD = AD = DC =( AC /2) Hence BD =5 / 2

Q. If two vertices joininig the hypotenuse of a right angled triangle are $(0, 0)$ and $(3, 4)$ , then the length of the median through the vertex having right angle is-

3

2

$5/2$

$7/2$

In $△ A BC$ right angle at $B$ we have
$B D = A D = D C = \frac{A C}{2}$
Hence $B D = 5/2$

Q. If two vertices joininig the hypotenuse of a right angled triangle are (0,0) and (3,4), then the length of the median through the vertex having right angle is-

3

2

5/2

7/2

In △ABC right angle at B we have BD=AD=DC=2AC​ Hence BD=5/2

Q. If two vertices joininig the hypotenuse of a right angled triangle are $(0, 0)$ and $(3, 4)$ , then the length of the median through the vertex having right angle is-

$5/2$

$7/2$

In $△ A BC$ right angle at $B$ we have
$B D = A D = D C = \frac{A C}{2}$
Hence $B D = 5/2$