Question

The three points below are the vertices of a right triangle. (see attachments)
What is the length of the hypotenuse?
A) 14 units
B) √56 units
C) 9 units
D) √106 units

Answer 1

You are given with (5,4) and (0, -5)

Using distance formula:

\[Distance = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2} \implies \sqrt{(0-5)^2 + (-5-4)^2}\]

\[\implies \sqrt{25 + 81}\]

Can you find now??

Answer 2

So it's D? :)

Answer 3

Well Done..

Answer 4

Thanks.