Math Problem Statement
determin the type of triangle
Determine the type of triangle that is drawn below.
Solution
Let's analyze the given triangle to determine its type.
Information provided:
- Sides:
,
,
- Angles:
,
,
Steps:
- Check for right angles: There is no angle, so it's not a right triangle.
- Check for side lengths:
- The three sides are of different lengths (, , and ). This makes the triangle scalene (no two sides are equal).
- Check for the type of angles:
- One angle is obtuse (), meaning the triangle has one angle greater than , making it obtuse.
Conclusion:
This triangle is Scalene Obtuse, as it has all sides of different lengths and one obtuse angle.
Would you like further details or have any questions?
Here are 5 related questions to expand your understanding:
- What defines a scalene triangle?
- How do you determine whether a triangle is obtuse or acute?
- What are the properties of an isosceles triangle?
- Can a triangle have more than one obtuse angle?
- What role does the sum of angles play in classifying triangles?
Tip: Remember, the sum of all interior angles in a triangle always equals .
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle Classification
Angle Properties
Side Lengths
Formulas
Sum of angles in a triangle = 180°
Classification of triangles by angles and sides
Theorems
Triangle Angle Sum Theorem
Scalene Triangle Theorem
Suitable Grade Level
Grades 7-9