Question

The coordinates of the vertices of right triangle SUE are S(6, 0), U(0, 8), and E(0, 0). What are the coordinates of the midpoint of the hypotenuse?

Answer 1

Given that the coordinates of the vertices of right triangle SUE are S(6, 0), U(0, 8), and E(0, 0).

Here `EU=8andES=6`

`SU=sqrt((6-0)^2+(0-8)^2)=10`

So longest side of right triangle `SU=10`

Hence it will be hypotenuse

So the coordinates of its mid point `(6+0)/2,(0+8)/2or(3,4)`