The distance between the horizontal legs of the two is 7, between vertical leg is -2 and between the two points is [tex]\rm \sqrt{2}[/tex].
The Pythagoras theorem is given as the relationship equation to calculate the side of the right angle triangle or the distance between the two points.
The given points in the equation are:
[tex](x_1y_1)=(-5,1)\\(x_2,y_2)=(2,-1)[/tex]
The distance between two horizontal point is given as:
[tex]\text{Distance between horizontal points}=x_2-x_1\\\text{Distance between horizontal points}=2-(-5)\\\text{Distance between horizontal points}=7[/tex]
The distance between two vertical point is given as:
[tex]\text{Distance between vertical points}=y_2-y_1\\\text{Distance between vertical points}=-1-(1)\\\text{Distance between vertical points}=-2[/tex]
The distance between two points  (c) with Pythagoras theorem is given as:
[tex]c=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\c=\sqrt{(7)^2+(-2)^2}\\c=\sqrt{49+4}\\c=\sqrt{53}[/tex]
Learn more about Pythagoras theorem, here:
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Answer:
What is the distance of the horizontal leg?
✔ 7
What is the distance of the vertical leg?
✔ 2
Use the Pythagorean theorem. What is the distance between the two points?
✔ square root of 53
Explanation:
