Math Problem Statement

Um pedreiro está instalando cerâmicas no piso de uma residência. O pedreiro fez o recorte de uma das peças de cerâmica em forma triangular, de modo que a soma de dois dos seus ângulos é igual a 80°. O triângulo que compõe essa cerâmica é

Solution

The question describes a situation involving a triangular ceramic tile. We know:

  1. The sum of two of the angles in this triangle is 80°.
  2. We need to determine the type of triangle.

In a triangle, the sum of all three angles is always 180°. If the sum of two angles is 80°, then the third angle must be: 180∘−80∘=100∘180^\circ - 80^\circ = 100^\circ

This means that the triangle has one angle of 100°, making it an obtuse triangle (since it has an angle greater than 90°).

Conclusion

The triangle that composes this ceramic is obtuse.

Would you like more details or have any questions?

Here are some related questions:

  1. What defines an obtuse triangle mathematically?
  2. Can a triangle with a 100° angle be isosceles or equilateral?
  3. How do we classify triangles based on angle measures?
  4. What are other properties of obtuse triangles?
  5. Can two obtuse triangles be similar?

Tip: Remember that in a triangle, if one angle is greater than 90°, it's always classified as obtuse.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Triangle Classification
Angle Sum of a Triangle

Formulas

Sum of interior angles in a triangle: 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8

Related Recommendation

Classifying a Triangle by Its Angles: Obtuse Triangle Example

Classifying a Triangle Based on Angle Sum Property

Classifying Triangles as Acute, Right, or Obtuse Based on Angles

Triangle Angle Sum Property: Identifying Impossible Triangles

Classify Triangles as Acute, Obtuse, or Right by Their Angles