Worksheet: Pythagorean Inequality Theorem

In this worksheet, we will practice determining whether an angle in a triangle is acute, right, or obtuse by using the Pythagorean inequality.

Q1:

In triangle 𝐴𝐡𝐢, (𝐴𝐡)+(𝐡𝐢)<(𝐴𝐢). What type of angle is 𝐡?

  • Aacute
  • Bright
  • Cobtuse

Q2:

In triangle 𝐴𝐡𝐢, (𝐴𝐡)<(𝐡𝐢)+(𝐴𝐢). What type of angle is 𝐢?

  • Aacute
  • Bright
  • Cobtuse

Q3:

In triangle π‘‹π‘Œπ‘, (π‘Œπ‘)>(𝑋𝑍)βˆ’(π‘‹π‘Œ). What type of angle is π‘Œ?

  • Aright
  • Bacute
  • Cobtuse

Q4:

In triangle π‘‹π‘Œπ‘, (π‘‹π‘βˆ’π‘‹π‘Œ)(𝑋𝑍+π‘‹π‘Œ)<(π‘π‘Œ). What type of angle is π‘Œ?

  • Aacute
  • Bright
  • Cobtuse

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