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(Marks: 1) In triangle XYZ, the angles are: X = 90°, Y = 45°, and Z = 45°. What type of triangle is it?
A Acute triangle
B Right triangle
C Obtuse triangle
D None of these?
Most Upvoted Answer
(Marks: 1) In triangle XYZ, the angles are: X = 90°, Y = 45°, and Z = ...
Type of Triangle XYZ
In triangle XYZ, we have the following angles:
- Angle X = 90°
- Angle Y = 45°
- Angle Z = 45°
Classification of the Triangle
To classify triangle XYZ, we can analyze the angles:
- Right Triangle: A triangle is classified as a right triangle if one of its angles measures exactly 90 degrees.
- Acute Triangle: A triangle where all three angles are less than 90 degrees.
- Obtuse Triangle: A triangle with one angle that is greater than 90 degrees.
Conclusion
Since triangle XYZ has one angle (X) that measures 90°, it meets the criteria for a right triangle.
Key Points
- Triangle XYZ has angles that sum up to 180° (90° + 45° + 45° = 180°).
- The presence of the 90° angle clearly identifies it as a right triangle.
Thus, the answer is B: Right triangle.
This classification helps in understanding the properties of the triangle, such as the relationship between the sides and angles, and is fundamental in geometry.
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(Marks: 1) In triangle XYZ, the angles are: X = 90°, Y = 45°, and Z = 45°. What type of triangle is it?A Acute triangleB Right triangleC Obtuse triangleD None of these?
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