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Slide showing learning objective for classifying triangles using Pythagorean inequalities.

A classroom slide titled "6.3 More Classifying Triangles" with a learning objective about using Pythagorean inequalities to classify triangles.

A classroom slide titled "6.3 More Classifying Triangles" with a learning objective about using Pythagorean inequalities to classify triangles.

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Show Answer Key & Explanations Step-by-step solution for: 6.3 Classifying Triangles Using the Pythagorean Theorem | PPT
- Understand that the Pythagorean Theorem (a² + b² = c²) applies to right triangles, where c is the hypotenuse.
- For any triangle with sides a, b, and c (where c is the longest side), use the Pythagorean inequality to classify it:
- If a² + b² > c², the triangle is acute.
- If a² + b² = c², the triangle is right.
- If a² + b² < c², the triangle is obtuse.
- Apply this method by squaring the lengths of the two shorter sides, adding them, and comparing the sum to the square of the longest side.
Parent Tip: Review the logic above to help your child master the concept of the pythagorean theorem and inequalities worksheet.
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