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Worksheet: Pythagorean Inequality

Q1:

In triangle 𝐴 𝐡 𝐢 , ( 𝐴 𝐡 ) + ( 𝐡 𝐢 ) < ( 𝐴 𝐢 ) 2 2 2 . What type of angle is 𝐡 ?

  • Aacute
  • Bright
  • Cobtuse

Q2:

In triangle 𝐴 𝐡 𝐢 , ( 𝐴 𝐡 ) < ( 𝐡 𝐢 ) + ( 𝐴 𝐢 ) 2 2 2 . What type of angle is 𝐢 ?

  • Aobtuse
  • Bright
  • Cacute

Q3:

In triangle 𝑋 π‘Œ 𝑍 , ( π‘Œ 𝑍 ) > ( 𝑋 𝑍 ) βˆ’ ( 𝑋 π‘Œ ) 2 2 2 . What type of angle is π‘Œ ?

  • Aright
  • Bobtuse
  • Cacute

Q4:

In triangle 𝑋 π‘Œ 𝑍 , ( 𝑋 𝑍 βˆ’ 𝑋 π‘Œ ) ( 𝑋 𝑍 + 𝑋 π‘Œ ) < ( 𝑍 π‘Œ ) 2 . What type of angle is π‘Œ ?

  • Aright
  • Bobtuse
  • Cacute