In ∆PQR, the length of side QR is 98 cm. The length of the side PQ is half of the length of the side QR. If the length of side RP is a whole number, the maximum possible length of RP is ______cm.
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Answers
Answered by
10
Answer:
pq = 8 cm is smallest side of triangle pqr
length of the side qr is less than twice the length of the side pq by 2 cm.
=> qr = 2 * pq - 2
length of the side pr exceeds the length of the side pq by 10 cm
=> pr = pq + 10
Perimeter = 40 cm
=> pq + qr + pr = 40
=> pq + 2*pq - 2 + pq + 10 = 40
=> 4pq = 32
=> pq = 8
pq = 8 cm
qr = 2*8 - 2 = 14 cm
pr = 8 + 10 = 18 cm
pq = 8 cm is smallest side of triangle pqr
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Answered by
3
Answer:
146
Step-by-step explanation:
half of 98 is 49
98+49 = 147
147-1=146
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