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 ​ .

Answer 1

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.