Math Problem Statement

Hvilken figur? Figuren har tre sider. Netop to sider er lige lange. Figuren har netop to lige store vinkler.

Solution

The question is asking to identify a geometric figure based on its properties. Let's analyze the provided information:

  1. The figure has three sides.
  2. Two sides are of equal length.
  3. The figure has exactly two large angles.

Based on these properties, we can deduce that the figure is a triangle with two sides of equal length, which also means it has two equal angles opposite those sides. This is the definition of an isosceles triangle.

Now, let's match this description to the options provided:

  • Figuren er et trapez (The figure is a trapezoid): A trapezoid typically has four sides.
  • Figuren er en ligesidet trekant (The figure is an equilateral triangle): An equilateral triangle has all three sides equal and all angles equal.
  • Figuren er en ligebenet trekant (The figure is an isosceles triangle): Matches the description perfectly.
  • Figuren er en rombe (The figure is a rhombus): A rhombus typically has four sides of equal length.

The correct answer is:

  • Figuren er en ligebenet trekant (The figure is an isosceles triangle).

Would you like more details or have any questions?

Here are some additional questions related to this topic:

  1. What are the properties of an equilateral triangle?
  2. How can you prove that a given triangle is isosceles?
  3. What are the different types of triangles based on their side lengths?
  4. Can an isosceles triangle be a right triangle? Explain why or why not.
  5. How do the angles in an isosceles triangle relate to its sides?

Tip: When identifying geometric figures, pay close attention to the number of sides and the relationships between their angles and sides.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles

Formulas

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Theorems

Isosceles Triangle Theorem

Suitable Grade Level

Grades 5-7