Math Problem Statement
Which valid classification for a triangle is correct A) Iscoseles obtuse B) Obtuse acute C) Scalene Equianguler D) Scalene Isosceles
Solution
The correct classification from the given options is:
A) Isosceles Obtuse
Explanation:
- A) Isosceles Obtuse: This is a valid classification. A triangle can be both isosceles (two sides of equal length) and obtuse (one angle greater than 90 degrees).
- B) Obtuse Acute: This is incorrect because a triangle cannot have both an obtuse angle (greater than 90 degrees) and an acute angle (less than 90 degrees) as the largest angle.
- C) Scalene Equiangular: This is incorrect because an equiangular triangle (all angles equal) must also be equilateral (all sides equal), so it cannot be scalene (all sides different).
- D) Scalene Isosceles: This is contradictory because scalene means all sides are different, while isosceles means two sides are equal.
Would you like further details or have any questions?
Here are 5 related questions:
- What is the definition of an obtuse triangle?
- Can an equilateral triangle also be acute?
- What is the difference between isosceles and scalene triangles?
- How can you determine if a triangle is obtuse or acute based on its angles?
- Can a triangle be both right and isosceles?
Tip: The sum of all angles in a triangle is always 180 degrees, which can help classify the type of triangle based on its angles.
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Math Problem Analysis
Mathematical Concepts
Triangle Classification
Types of Angles
Types of Triangles
Formulas
Sum of angles in a triangle = 180°
Theorems
Triangle Angle Sum Theorem
Properties of Isosceles, Scalene, and Obtuse Triangles
Suitable Grade Level
Grades 6-8