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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the figure given below, find RS and PS using the information given in ΔPSR. - Geometry Mathematics 2

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प्रश्न

In the figure given below, find RS and PS using the information given in ΔPSR.

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उत्तर

In ΔRSP, ∠PSR = 90°, ∠RPS = 30°

To find Rs, sin 30° = `(RS)/(RP)`

`1/2 = (RS)/12`

RS = 6 units

cos 30° = `(PS)/(RP)`

`sqrt3/2 = (PS)/12`

PS = `(12sqrt3)/2`

PS = `6sqrt3` units

Therefore, length of RS is 6 units, and the length of PS is `6sqrt3` units.

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