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In triangle PQR right-angled at Q , PQ = 3 cm and PR = 6...

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Advance Math

In triangle PQR right-angled at Q , PQ = 3 cm and PR = 6 cm. Determine ∠QPR

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3.8 Ratings (608 Votes)

In triangle PQR right-angled at Q , PQ = 3 cm and PR = 6 cm

tan p = Opposite side / Adjacent side

 

Using Pythagorean theorem,

 

PR2 = PQ2 + QR2

 

62 = 32 + QR2

 

36 - 9 = QR2

 

QR2 = 27

 

QR = 3√3

 

tan p = PQ/QR

 

tan p = 3/√3

 

Multiplying both numerator and denominator by √3, we get

 

tan p = √3

 

 ∠QPR = 60°
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