Math Problem Statement
If in
i) Which is the smallest side of the triangle?
ii) Which is the longest?
Solution
To determine the smallest and longest sides of a triangle, we typically rely on either the triangle's side lengths or angle measures. The key rules are:
- Smallest Side: The smallest side of a triangle is opposite the smallest angle.
- Longest Side: The longest side of a triangle is opposite the largest angle.
In this case, please provide the angle or side measurements if available in the image or description, so I can help determine the smallest and longest sides.
If measurements are available:
- i) Identify the side opposite the smallest angle (for the smallest side).
- ii) Identify the side opposite the largest angle (for the longest side).
Would you like a more detailed example based on possible measurements?
Related Questions
- How do we find the side lengths if only the angles are given?
- Can you calculate side lengths using the Pythagorean theorem?
- What role does the triangle inequality play in determining side lengths?
- How do we determine side ratios in a right triangle?
- How are trigonometric ratios useful in triangles?
Tip:
Always match each side with its opposite angle; this relationship is fundamental in understanding triangle properties.
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle Properties
Angle-Side Relationship
Formulas
Smallest side is opposite the smallest angle
Longest side is opposite the largest angle
Theorems
Triangle Inequality Theorem
Suitable Grade Level
Grades 6-8