The coordinates of the vertices of the triangle shown are p (2, 13), q (7, 1) and r (2, 1). what is the length of segment pq in units?

To find the length or distance of two coordinates, we use pythagoras theorem

l² = Δx² + Δy²

Because we want to know the length of PQ, we use coordinate P and coordinate Q

(xp, yp) = (2,13)

(xq, yq) = (7,1)

Input the coordinates

l² = Δx² + Δy²

l² = (xp - xq) ² + (yp - yq) ²

l² = (2-7) ² + (13-1) ²

l² = (-5) ² + (12) ²

l² = 25 + 144

l² = 169

l = √169

l = 13

The length is 13 unit length