Math Problem Statement

Choose the name of the triangle based on its indicated angles and sides. The triangle has angles 97°, 57°, and 26° with two equal sides.

Solution

The triangle shown in the image has the following angles:

  • A=97\angle A = 97^\circ
  • B=57\angle B = 57^\circ
  • C=26\angle C = 26^\circ

Additionally, there are markings on two of the sides indicating that they are of equal length. Therefore, the triangle has two equal sides, making it an isosceles triangle based on its sides.

Based on the angles, the triangle includes one angle greater than 9090^\circ (97°), making it an obtuse triangle.

Answer:

  • Name based on sides: Isosceles
  • Name based on angles: Obtuse

Would you like further details or clarification? Here are some additional related questions for practice:

  1. How do you determine whether a triangle is obtuse?
  2. What is the difference between an isosceles triangle and an equilateral triangle?
  3. Can an obtuse triangle also be a right triangle? Why or why not?
  4. What properties do the angles in any triangle always satisfy?
  5. How do you calculate the missing angles in a triangle if only two angles are given?

Tip: In any triangle, the sum of all interior angles is always 180180^\circ.

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Math Problem Analysis

Mathematical Concepts

Triangle Classification
Angle Properties

Formulas

Sum of angles in a triangle = 180°

Theorems

Triangle Sum Theorem
Isosceles Triangle Theorem

Suitable Grade Level

Grades 6-8