In the diagram, P, Q, R, S, and T are collinear. PT=54 QT= 42 QS= 31 and RS= 17. Then find PQ, QR, ST, PS, PR, RT
Answers
If the points like P, Q, R, S and T are collinear they will follow the segment addition postulate.
Length of segments will be,
PQ = 12 units
QR = 14 units
ST = 11 units
PS = 43 units
PR = 26 units
RT = 28 units
It's given in the question,
P, Q, R, S, T are collinear.And the lengths of different segments are,
PT = 54QT = 42QS = 31RS = 17By segment addition postulate,
PQ + QT = PT
PQ = PT - QT
PQ = 54 - 42
= 12 units
QR + RS = QS
QR = QS - RS
= 31 - 17 = 14 units
ST = QT - QS
= 42 - 31 = 11 units
PS = PT - ST
= 54 - 11
= 43 units
PQ + QR = PR
12 + 14 = PR
PR = 26 units
RS + ST = RT
17 + 11 = RT
RT = 28 units
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