Answer to Question #169093 in Geometry for Tata

Question

Point Q is on line segment \overline{PR}

PR

. Given PQ=x,

PQ=x, QR=6,

QR=6, and PR=2x-10,

PR=2x−10, determine the numerical length of \overline{PQ}.

PQ

​.

Answer 1

Given:

PQ = x

QR = 6

PR = 2x - 10

Since Q is a point on line PR,

$\therefore$ PR = PQ + QR

i.e., 2x - 10 = x + 6

2x - x = 6 + 10

$\therefore$ x = 16

Hence, the numerical length of PQ = x = 16.