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Grade 8 · G

Converse of the Pythagorean Theorem

If a² + b² = c² then the triangle is right. If a² + b² > c² it is acute; if < c² it is obtuse.

Grade 8Common Core 8.G.B.7GVerified correct ✓

Worked examples

Three sides of a triangle measure 8, 15, and 16. Determine whether this triangle is right, acute, or obtuse. Enter 0 for obtuse, 1 for right, 2 for acute.
Answer: 2
Three sides of a triangle measure 18, 24, and 30. Determine whether this triangle is right, acute, or obtuse. Enter 0 for obtuse, 1 for right, 2 for acute.
Answer: 1

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