What is the length of the hypotenuse of the right angle defined by the points (-3,-1),(1,-1),and (1,2)?
A)square root of 3
B)square root of 3
C) 2 timessquare root of 3
D)5

Respuesta :

To find the length of the triangle first find the two coordinates with a common x coordinate, (1,-1) and (1,2). Now find the difference between their y coordinates, -1 and 2. This means that the length of the triangle is 3.
To find the width of the triangle first find the two coordinates with a common y coordinate, (-3,-1) and (1,-1). Now find the difference between their x coordinates, -3 and 1. This means that the width of the triangle is 4. 
By Pythagoras' theorem, we know that [tex] hypotenuse = \sqrt{ width^{2} + length^{2} } [/tex]. Inserting our newfound values into this equation, we an find thelength of the hypotenuse:
[tex] hypotenuse = \sqrt{ 4^{2} +3^{2}} hypotenuse = \sqrt{16+9} hypotenuse = \sqrt{x} 25 hypotenuse = 5[/tex]
Therefore, your answer is D0 5. To visualise this question better, you can plot the points on a graph. 
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