Does the diagram show an obtuse triangle?
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Does the diagram show an obtuse triangle?
To find out whether the depicted triangle is obtuse, let's recall the definition: an obtuse triangle has one angle that measures more than .
In the diagram provided, we can see a triangle formed by lines drawn from the corners of what visually exists as a right angle, delineated by perpendicular segments. The prominent line bisecting these seemingly perpendicular segments does not suggest any expansion beyond each vertical or horizontal alignment inherent in the right angle setup.
Nevertheless, observe the vertex that connects these aligned angles: their linear combination and spatial property depiction give no notice of expansion over .
Analyzing the configuration directly or using the properties of straight lines and angle calculations yields no evidence for an angle exceeding . Therefore, the angles shown collectively correspond to a right triangle, indirectly confirmed via its geometric balance among straight, equal line segments.
Therefore, the diagram does not illustrate any feature of an obtuse triangle.
Consequently, the answer to the question "Does the diagram show an obtuse triangle?" is No.
No
In a right triangle, the side opposite the right angle is called....?
An obtuse angle looks "wider" than a right angle - it opens up more than a square corner. If you see a small square symbol at a vertex, that's exactly , not obtuse!
No! A triangle can have at most one obtuse angle. If two angles were obtuse (each > ), their sum alone would exceed , which is impossible since all three angles must sum to exactly .
Acute triangles: All angles <
Right triangles: Exactly one angle =
Obtuse triangles: Exactly one angle >
The diagram might be confusing because of perspective or drawing style, but look for the right angle symbol (small square). This indicates a angle exactly, making it a right triangle, not obtuse.
Look for these clues: Square symbols = right triangle, wide-looking angles = possibly obtuse, sharp-looking angles = possibly acute. When in doubt, measure or calculate the angles if possible!
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