Which figure is a scalene triangle?
Understand the Problem
The question is asking to identify which figure among the provided options is a scalene triangle, specifically looking for a triangle that has no sides of equal length.
Answer
The scalene triangle is the first figure with sides measuring 6 inches and 3 inches.
Answer for screen readers
The figure that is a scalene triangle is the first option, with side lengths of 6 inches and 3 inches.
Steps to Solve
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Identify the key properties of a scalene triangle A scalene triangle is defined as a triangle where all three sides have different lengths. Thus, no sides should be of equal length.
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Examine the provided figures Look at each triangle in the options:
- The first option has side lengths of 6 inches and 3 inches. Since one side is 3 inches and the other is 6 inches, this triangle is a candidate, but we need to check all options.
- The second option has sides of lengths 6 inches, 6 inches, and an implied other length equal to or less than 6 inches. This means it is an isosceles triangle, not scalene.
- The third option has two sides equal (6 inches each), making it isosceles as well.
- The last option has all sides measuring 6 inches, meaning it is an equilateral triangle.
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Conclusion Only the first figure meets the criteria for being a scalene triangle, as it features one side measuring 3 inches and one side measuring 6 inches. The third length must be different from both to satisfy scalene criteria, which it does since it differs from the equal lengths.
The figure that is a scalene triangle is the first option, with side lengths of 6 inches and 3 inches.
More Information
Scalene triangles are unique in that they have no sides or angles that are the same. This can apply in various geometric scenarios, playing a crucial role in triangle theory and classification.
Tips
- A common mistake is to mistakenly identify isosceles triangles as scalene due to the presence of one unequal side.
- Another mistake is ignoring the condition that all three sides must be different to qualify as scalene.
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