2) In the figure PQ || MN if KP pm 4 13
and KN= 20.4cm - then find the value
of KQ.
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In Triangle KMN, We have
PQ // MN
Therefore, KP/PM = KQ/QN
KP/PM = KQ/KN-KQ
4/13 = KQ / 20.4 - KQ
4(20.4 - KQ ) = 13 KQ
81.6 - 4KQ = 13 KQ
17 KQ = 81.6
KQ = 81.6/17
⇒ 4.8 cm.
Hence, the value of KQ = 4.8 cm .
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