Point Q is on line segment start overline, P, R, end overline PR . Given Q, R, equals, 10QR=10 and P, R, equals, 19, commaPR=19, determine the length start overline, P, Q, end overline, . PQ .
To find the length of PQ, we can use the distance formula.
Let's assume that the coordinates of P, Q, and R are (x1, y1), (x2, y2), and (x3, y3) respectively.
Using the distance formula, we have:
PQ = √((x2 - x1)^2 + (y2 - y1)^2)
Given that PQ = QR and PR = 19, we can set up the following equations:
10QR = 10 and PR = 19
Since QR = PQ, we can rewrite the equation as:
10PQ = 10
Simplifying, we find:
PQ = 10/10
PQ = 1
Therefore, the length of PQ is 1 unit.