SOLUTION: The endpoint coordinates of the hypotnuse of a right triangle are (1,0) and (6,-5). What are possible coordinates of the point where the legs of this triangle intersect and what is

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Question 593448: The endpoint coordinates of the hypotnuse of a right triangle are (1,0) and (6,-5). What are possible coordinates of the point where the legs of this triangle intersect and what is the lenght of the hypotenuse?
Answer by lwsshak3(11628) About Me  (Show Source):
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The endpoint coordinates of the hypotnuse of a right triangle are (1,0) and (6,-5). What are possible coordinates of the point where the legs of this triangle intersect and what is the lenght of the hypotenuse?
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The best way to see this problem is to roughly plot the points. You will see that the two legs of the right triangle intersect at (0,6). This makes the vertical leg=5 and the horizontal leg=6.
The length of the hypotenuse by Pythagorean Theorem=√(6^2+5^2)=√(36+25)=√61