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:

  1. Smallest Side: The smallest side of a triangle is opposite the smallest angle.
  2. 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

  1. How do we find the side lengths if only the angles are given?
  2. Can you calculate side lengths using the Pythagorean theorem?
  3. What role does the triangle inequality play in determining side lengths?
  4. How do we determine side ratios in a right triangle?
  5. How are trigonometric ratios useful in triangles?

Tip:

Always match each side with its opposite angle; this relationship is fundamental in understanding triangle properties.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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