Math Problem Statement

Classify this triangle by its sides and angles.

Solution

The triangle in the image has two equal sides, indicated by the red marks. Additionally, there is a right-angle symbol (a small square), which tells us that the triangle contains a right angle.

Classification:

  • By sides: Since two sides are equal, the triangle is isoceles.
  • By angles: Since it has a right angle, it is a right triangle.

Thus, the correct classification of the triangle is right and isosceles.

Would you like further clarification on this? Here are five related questions you might find interesting:

  1. What defines a scalene triangle, and how is it different from isosceles?
  2. Can a triangle be both obtuse and isosceles?
  3. What is the sum of the interior angles of any triangle?
  4. How do you calculate the area of an isosceles right triangle?
  5. How are right triangles applied in the Pythagorean theorem?

Tip: In geometry, markings like identical lines indicate equal sides, while angle symbols such as a small square represent a right angle.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Right Triangles

Formulas

Sum of the interior angles of a triangle = 180°

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 5-7