The task in the image involves determining whether each given triangle is an
equilateral triangle. An equilateral triangle is defined as a triangle where all three sides are of equal length.
Let's analyze each triangle step by step:
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1. First Triangle
- Sides: \( 5 \, \text{cm}, 5 \, \text{cm}, 5 \, \text{cm} \)
- All three sides are equal.
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Conclusion: This is an equilateral triangle.
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2. Second Triangle
- Sides: \( 7.8 \, \text{cm}, 7.8 \, \text{cm}, 7.8 \, \text{cm} \)
- All three sides are equal.
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Conclusion: This is an equilateral triangle.
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3. Third Triangle
- Sides: \( 1.7 \, \text{cm}, 1.7 \, \text{cm}, 1.7 \, \text{cm} \)
- All three sides are equal.
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Conclusion: This is an equilateral triangle.
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4. Fourth Triangle
- Sides: \( 1.5 \, \text{cm}, 1.5 \, \text{cm}, 1.5 \, \text{cm} \)
- All three sides are equal.
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Conclusion: This is an equilateral triangle.
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5. Fifth Triangle
- Sides: \( 15 \, \text{cm}, 15 \, \text{cm}, 15 \, \text{cm} \)
- All three sides are equal.
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Conclusion: This is an equilateral triangle.
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6. Sixth Triangle
- Sides: \( 6.5 \, \text{cm}, 6.5 \, \text{cm}, 6.5 \, \text{cm} \)
- All three sides are equal.
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Conclusion: This is an equilateral triangle.
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Final Answer:
All six triangles are equilateral triangles because each triangle has three sides of equal length.
\[
\boxed{\text{All triangles are equilateral.}}
\]
Parent Tip: Review the logic above to help your child master the concept of area and perimeter triangle worksheet.
