. In ∆PQR, points X, Y, Z are the midpoints of side PQ, side QR and side PR, respectively. If PQ = 6 cm, QR = 10 cm and PR = 12 cm, find the length of XY, YZ and XZ.
a) 5, 6, 3
b) 12, 6, 10
c) 6, 3, 5
d) none of the above
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1
Answer:
ST is parallel to QR (since ST is mid-point of PQ and PR) by proportionality theorem
PQ
PS
=
QR
ST
⇒
PS+PS
PS
=
QR
ST
⇒
2
1
=
QR
ST
⇒QR=2×ST
⇒2×6.2
⇒12.4
Step-by-step explanation:
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