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In APQR. LMIQR and PM MR - 3:4. Calculate AB te PC and then QR Area (ALMN) Area (AMNR) Area (ALQM) 04 Area (ALQN) and ident

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Q1

In

△ P Q R

,

L M ∥ Q R

and

P M : M R = 3 : 4

. Calculate

\frac{A r e a (△ L M N)}{A r e a (△ M N R)}

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Q2

In $△ P Q R, M N$ is parallel to $Q R$ and $\frac{P M}{M Q} = \frac{2}{3}$

Find $\frac{M N}{Q R}$ , Prove that $△ O M N$ and $△ O R Q$ are similar, find area of $△ O M N$ : area of $△ O R Q$ .

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Q3

In the given triangle PQR, LM is parallel to QR and $$PM: MR = 3: 4$$. Calculate the value of ratio PL/PQ and then LM/QR.

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Q4

$△ A B C ~ △ P Q R$ and $\frac{a r e a △ A B C}{a r e a △ P Q R} = \frac{16}{9}$ . If $P Q = 18 c m$ and $B C = 12 c m$ , then $A B$ and $Q R$ are respectively:

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Q5

Using Pythagoras theorem, find the area of $∆ P Q R$ , if $∠ P = ∠ M = 90 °$ , $P M = 6 c m$ , $M R = 8 c m$ and $Q R = 26 c m$ .

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