Math Problem Statement
Solution
The given statement in the image is:
This is a right triangle, where we know that the sum of the angles in any triangle is always 180°. In a right triangle, one angle is 90°, and the other two angles (α and β) must sum to 90°. Therefore, the equation holds true, which can be rewritten as:
This confirms the statement is True.
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Here are some related questions:
- How do we know that the sum of the angles in any triangle is 180°?
- Can you apply this rule to other types of triangles as well?
- How would you find the third angle in a triangle if you know two angles?
- What is the relationship between the sides of a right triangle and the angles?
- Can this rule () be applied to any right triangle?
Tip: In right triangles, you can use trigonometric ratios (sine, cosine, tangent) to find unknown angles and sides.
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangle Angles
Formulas
Sum of angles in a triangle = 180°
In a right triangle, one angle is 90°, and the other two add up to 90°.
Theorems
Angle sum property of triangles
Suitable Grade Level
Grades 6-8