Question

The points p(3, –2), q(10, –2), and r(3, –8) are the vertices of a triangle. What is the approximate length of side rq?

Answer 1

The points p(3, –2), q(10, –2), and r(3, –8) are the vertices of a triangle, then, The length of the side RQ will be 9.22 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

$D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.$

The length of side RQ will be,

$\rm Length = \sqrt{(3-10)^2+(-8-(-2))^2}\\\\Length=\sqrt{49+36}\\\\Length = \sqrt85\\\\Length = 9.22$

Hence, the length of the side RQ will be 9.22 units.

Learn more about the Distance between two points:

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