Question

Look at the figure shown below​

Answer 1

Answer is given below with explanations.

Explanation:

Answer is option 1) 85 : 51

`given \: that \: \\ triangle \: SPT \: is \: similar \: to \: triangle \: QPR \\ corresponding \: sides \: of \: similar \: \\ triangles \: are \: in \: proportion \\ then \: \\ (SP)/( QP) = (PT )/( PR) \\ (3x)/(3x + 24) = (51)/(85) \\ taking \: reciprocal \: on \: both \: sides \\ (3x + 24)/(3x) = (85)/(51)`

Option 1 is correct.

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