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:
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 (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:
- How do you determine whether a triangle is obtuse?
- What is the difference between an isosceles triangle and an equilateral triangle?
- Can an obtuse triangle also be a right triangle? Why or why not?
- What properties do the angles in any triangle always satisfy?
- 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 .
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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