Problema Solution
triangle PQR has sides PQ,QR and PR in the ratio of 4:3:6. PR is longer than PQ by 6 cm. Find the sun of the length of PR,QR and PQ.
Answer provided by our tutors
PQ : QR : PR = 4:3:6
thus we can write
PQ = 4k
QR = 3K
PR = 6k
where k is positive integer
PR is longer than PQ by 6 cm
PR = PQ + 6
6k = 4k + 6
6k - 4k = 6
2k = 6
k = 6/2
k = 3
the sum of the length of PR,QR and PQ is
PR + QR + PQ = 6k + 3k + 4k = 13k = 13*3 = 39 cm
the sum of the length of PR,QR and PQ is 39 cm.