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

Free

80.2K

Verified Solution

Question

Advance Math

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

Answer & Explanation Solved by verified expert
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°


Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students