Math, asked by joyd23, 1 year ago

M, N and S are the mid points of PQ, PR and QR of triangle PQR respectively. If NP= 4.3cm and MS= 2.7cm, calculate the lengths of PQ and PR.​

Answers

Answered by amitnrw
1

PR = 8.6 cm  and there is mistake in Data if M, N and S are the mid points of PQ, PR and QR of ΔPQR & NP= 4.3cm and MS= 2.7cm

Step-by-step explanation:

M, N and S are the mid points of PQ, PR and QR of ΔPQR

NP =  4.3 cm

=> PR  = 2 * NP  

=> PR = 2 * 4.3

=> PR = 8.6 cm

M & S are mid point of of PQ & QR

=> ΔQMS ≈ Δ QPR

=>  MQ /PQ  =   SQ/RQ  = MS/PR

MQ /PQ  =   SQ/RQ = 1/2

=> MS/PR = 1/2

but MS/PR = 2.7/8.6   ≠ 1/2

so there is some mistake in data

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