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Two vertices of a right triangle have the coordinates (-2, 5) and (9,5)
What is the length of the side formed by these vertices?​

Respuesta :

Answer:

The length of the formed by these vertices is 11 units.

Step-by-step explanation:

We are given the following coordinates of two vertices of a right angled triangle and we are to find the length of the side formed by these vertices:

[tex](-2, 5)[/tex] and [tex](9,5)[/tex]

Using the distance formula to find the side length:

Side length = [tex] \sqrt { ( 9 - ( - 2 ) ) ^ 2 + ( 5 - 5 ) ^ 2 } [/tex] = [tex]\sqrt{121}[/tex] = 11 units

Answer:

11

Step-by-step explanation:

Note that the horizontal line y = 5 goes through both vertices, and that the length of the side formed by those vertices is the distance between the vertices in this case.  That distance would be 9 - (-2), or 11.