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:

  1. What is the definition of an obtuse triangle?
  2. Can an equilateral triangle also be acute?
  3. What is the difference between isosceles and scalene triangles?
  4. How can you determine if a triangle is obtuse or acute based on its angles?
  5. 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