Science, asked by Anonymous, 7 months ago

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Answered by Anonymous
31

Proof :

If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.

Example :

1) In the given figure, PQ || MN.

If KP / PM = 4 /13 and KN = 20.4 cm.

Find KQ.

Solution :

In Δ KMN,

PQ || MN

∴ KP / PM = KQ / QN ( By BPT theorem)

⇒ KP / PM = KQ / ( KN – KQ)

⇒ 4 / 13 = KQ / ( 20.4 – KQ)

⇒ 4( 20.4 - KQ ) = 13 KQ ( cross multiply )

⇒ 81.6 – 4KQ = 13 KQ

⇒ 17KQ = 81.6

⇒ KQ = 81.6 / 17.

hope it helps you mate.

please thank and mark my answer as brainliest.

@ ANUSHA

Answered by BrainlyEmpire
19

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