Prove that the median to the hypotenuse of a right triangle is half the hypotenuse. plan: since midpoints will be involved, use multiples of to name coordinates for m and n.

use multiples of 2, gradpoint approved mates.

Step-by-step explanation:

Ya yeet fellas, good luck in your classes!

The proof is explained below

Step-by-step explanation:

Given right angled triangle and also the median we have to prove that  the median to the hypotenuse of a right triangle is half the hypotenuse i.e

In ΔORN, by Pythagoras theorem

In ΔORM, by Pythagoras theorem

Adding above two equations, we get

⇒

⇒

Since P is the mid-point i.e MP=PN

             =

⇒

⇒

⇒ MN=2OP ⇒

Hence Proved.

b