Advanced Math Question

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step 1

Given

point 'p' is the midpoint of a, b.

point 'q' is the midpoint of c, b.

point 'r' is the midpoint of a, c.

let the angle cab=α

hence

rpcb and rp=12cb

pqac and pq=12ac

rqab and rq=12ab

let ab=2z, cb=2y, ac=2x

hence

 ar=rc=pq=x,ap=pb=rq=z

and

rap=crq=rqp=qpb=α

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