Math Problem Statement
Solution
The question asks which terms correctly describe a triangle with two 45° angles. Let's break it down:
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Isosceles (A): A triangle with two 45° angles will have two equal angles, meaning it is also an isosceles triangle. This option is correct.
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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.
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Equilateral (C): An equilateral triangle has all angles equal to 60°, so this is incorrect.
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Obtuse (D): An obtuse triangle has one angle greater than 90°, which is not the case here. This is incorrect.
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Equiangular (E): An equiangular triangle has all angles equal. Since two angles are 45° and one is 90°, this is incorrect.
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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:
- What is the sum of the angles in any triangle?
- Can a triangle be both isosceles and scalene?
- How can you calculate the third angle of a triangle if you know two angles?
- What is the definition of an equilateral triangle?
- What distinguishes a right triangle from an obtuse triangle?
Tip: In a right triangle, the other two angles must sum to 90°.
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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