Math Problem Statement

Which of the following words correctly describe a triangle with two 45° angles? Check all that apply.

Solution

The question asks which terms correctly describe a triangle with two 45° angles. Let's break it down:

  • Isosceles (A): A triangle with two 45° angles will have two equal angles, meaning it is also an isosceles triangle. This option is correct.

  • Right (B): Since two angles are 45°, the third angle must be 90° (because the sum of angles in a triangle is 180°). Therefore, this is a right triangle. This option is correct.

  • Equilateral (C): An equilateral triangle has all angles equal to 60°, so this is incorrect.

  • Obtuse (D): An obtuse triangle has one angle greater than 90°, which is not the case here. This is incorrect.

  • Equiangular (E): An equiangular triangle has all angles equal. Since two angles are 45° and one is 90°, this is incorrect.

  • Scalene (F): A scalene triangle has no equal sides or angles. Since this triangle has two equal angles, it is not scalene. This is incorrect.

So, the correct options are:

  • A. Isosceles
  • B. Right

Would you like further explanation or have any questions?

Here are 5 related questions:

  1. What is the sum of the angles in any triangle?
  2. Can a triangle be both isosceles and scalene?
  3. How can you calculate the third angle of a triangle if you know two angles?
  4. What is the definition of an equilateral triangle?
  5. What distinguishes a right triangle from an obtuse triangle?

Tip: In a right triangle, the other two angles must sum to 90°.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Angle Properties

Formulas

Sum of angles in a triangle = 180°

Theorems

Isosceles Triangle Theorem

Suitable Grade Level

Grades 8-10