$P S$ is a median and $Q L$ and $R M$ are perpendiculars drawn from $Q$ and $R$ respectively on $P S$ produced. Then which of the following statements is correct $?$

P Q = R M

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Q L = R M

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P L = S R

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P S = S M

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Solution

The correct option is B $Q L = R M$
In $△$ s $Q L S$ and $R M S,$
$∠ Q L S = ∠ R M S = 90^{\circ}$
$∠ Q S L = ∠ R S M$ (Vert. opp. $∠$ s)
$Q S = S R$ (PS is median)
$∴$ $△ Q L S ≅ △ R M S$ (AAS)
$\Rightarrow$ $Q L = R M$ (cpct)

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PS is a median and QL and RM are perpendiculars drawn from Q and R respectively on PS produced. Then which of the following statements is correct?

The correct option is B QL=RMIn △s QLS and RMS,∠QLS=∠RMS=90∘∠QSL=∠RSM (Vert. opp. ∠s)QS=SR (PS is median)∴ △QLS≅△RMS (AAS)⇒ QL=RM (cpct)

$P S$ is a median and $Q L$ and $R M$ are perpendiculars drawn from $Q$ and $R$ respectively on $P S$ produced. Then which of the following statements is correct $?$

The correct option is B $Q L = R M$
In $△$ s $Q L S$ and $R M S,$
$∠ Q L S = ∠ R M S = 90^{\circ}$
$∠ Q S L = ∠ R S M$ (Vert. opp. $∠$ s)
$Q S = S R$ (PS is median)
$∴$ $△ Q L S ≅ △ R M S$ (AAS)
$\Rightarrow$ $Q L = R M$ (cpct)