In the given figure, If $S T | | Q R$ . Find PS.

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Solution

In $△ P R Q$ , we have

$S T | | Q R$

$\Rightarrow$ $\frac{P S}{Q S} = \frac{P T}{R T}$ [ By Thale's Theorem]

$\Rightarrow$ $\frac{P S}{3} = \frac{3}{2}$

$\Rightarrow$ $P S = \frac{9}{2} c m = 4.5 c m$

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Similar questions

{PR}^{2} = {PS}^{2} + QR \times ST + {(\frac{QR}{2})}^{2}

{PQ}^{2} = {PS}^{2} - QR \times ST + {(\frac{QR}{2})}^{2}

△ P O S \sim △ R O Q

| |

\frac{P S}{S Q} = \frac{3}{5}

P R = 28

P S = 4 c m, S R = 2 c m, P T = 3 c m

Q T = 5 c m

S T

Q R = 5.8 c m

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