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Question
In the given figure, PS = 3RS. M is the midpoint of QR. If TR || MN || QP, then prove that:
RT = `(1)/(3)"PQ"`
Solution
Proof:
R and T are the mid-points of NS and MS respectively.
⇒ RT = `(1)/(2)"MN"`
M and N are the mid-points of LT and PR respectively.
⇒ MN = `(1)/(2)"PQ"`
So, RT = `(1)/(2)(1/2 "PQ")`
⇒ RT = `(1)/(4)"PQ"`.
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