in right angled triangle abc and pqr AB and PQ are corresponding sides .the midpoints of ab and pq are xand y .show that ax/py=bc/rq
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Step-by-step explanation:
Statements (a), (b) and (c) are true. So only (d) is not correct.
(a) RX
2
+PY
2
=(XQ
2
+RQ
2
)+(PQ
2
+QY)
2
=(XQ
2
+QY
2
)+(RQ
2
+QP
2
)
=XY
2
+PR
2
=XY
2
+4XY
2
=5XY
2
(b) From (a), we have XY
2
+PR
2
(c) From (a), we have 4(RX
2
+PY
2
)
=4XY
2
+4PR
2
=PR
2
+4PR
2
=5PR
2
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