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Step-by-step explanation:
since by applying pythgoras theorem in your triangle PQR ,yeilds:
(PR)^2 +(QR)^2 =(PQ)^2 (1)
by putting known values
PR=12 and PQ=13 in (1) we get:
(12)^2 +(QR)^2 =(13)^2
144+(QR)^2 =169
this implies that:
(QR)^2 =169-144
(QR)^2 =25
(QR)=(25)^1/2
since we have two values of QR +5 and -5 since side can not be negative
(QR)=+5=5
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