Triangle Classification: Is a Triangle with Sides 9.1, 9.5, and 9 Scalene?

Q: What's the difference between scalene, isosceles, and equilateral triangles?

Scalene: All three sides are different lengthsIsosceles: Exactly two sides are equalEquilateral: All three sides are equal

Q: What if two sides are very close but not exactly equal?

If the numbers are different at all, even by 0.1 like 9 and 9.1, then they're considered different sides. The triangle is still scalene.

Q: Can a scalene triangle still form a valid triangle?

Yes! As long as the sum of any two sides is greater than the third side, it forms a valid triangle. For example: 9 + 9.1 = 18.1 > 9.5 ✓

Q: How do I remember what scalene means?

Think 'scalene = not the same' - all sides have different scales or measurements. No two sides match!

Triangle Classification with Unequal Side Lengths

Given the values of the sides of a triangle, is it a triangle with different sides?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine whether the triangle is a scalene triangle

00:03 According to the given side lengths, the triangle is scalene

00:07 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Given the values of the sides of a triangle, is it a triangle with different sides?

Step-by-step solution

As is known, a scalene triangle is a triangle in which each side has a different length.

According to the given information, this is indeed a triangle where each side has a different length.

Final Answer

Yes

Key Points to Remember

Essential concepts to master this topic

Definition: Scalene triangles have three different side lengths
Technique: Compare all sides: 9.1 ≠ 9.5 ≠ 9
Check: All three measurements are different: 9, 9.1, 9.5 ✓

Common Mistakes

Avoid these frequent errors

Confusing scalene with isosceles or equilateral
Don't assume triangles are isosceles (two equal sides) or equilateral (all equal sides) without checking = wrong classification! Students often guess based on appearance. Always compare all three side lengths directly to determine the correct triangle type.

Practice Quiz

Test your knowledge with interactive questions

In a right triangle, the side opposite the right angle is called....?

FAQ

Everything you need to know about this question

What's the difference between scalene, isosceles, and equilateral triangles?

Scalene: All three sides are different lengths
Isosceles: Exactly two sides are equal
Equilateral: All three sides are equal

Do I need to put the sides in order to classify the triangle?

No! You can compare the sides in any order. The key is checking that all three measurements are different from each other.

What if two sides are very close but not exactly equal?

If the numbers are different at all, even by 0.1 like 9 and 9.1, then they're considered different sides. The triangle is still scalene.

Can a scalene triangle still form a valid triangle?

Yes! As long as the sum of any two sides is greater than the third side, it forms a valid triangle. For example: 9 + 9.1 = 18.1 > 9.5 ✓

How do I remember what scalene means?

Think 'scalene = not the same' - all sides have different scales or measurements. No two sides match!

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