Please Help! Will Medal! he vertices of a right triangle are (1,1), (5,1), and (1,4). What is the Length of the Hypotenuse?

Question

anonymous · Answer

if you can imagine the diagram, the hypotenuse would be the distance between points (5,1) and (4,1).

hence find the distance between points by using the formula:
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anonymous · Answer

The vertices of the legs of the right  triangle are (5,1) and (4,1) so plug thos e into the distance formula that @Auxuris  wrote

anonymous · Answer

(5-4)^2-(1-1)^2

anonymous · Answer

$$\sqrt{(1-1)^2+(5-4)^2}$$

anonymous · Answer

square root of that

anonymous · Answer

can you simplify that @suckerofmath  ?

anonymous · Answer

find the distance between every two points using this formula. the side with the largest value is the hypotenuse. |dw:1392733024614:dw|