Identifying an Obtuse Triangle: Step-by-Step Guide to Determining if a Triangle is Obtuse

Obtuse triangle

An obtuse triangle is a type of triangle that has one angle that is greater than 90 degrees

An obtuse triangle is a type of triangle that has one angle that is greater than 90 degrees. In other words, it is a triangle that is “stretched out” with one angle being wider than a right angle (which measures exactly 90 degrees).

To determine if a triangle is obtuse, you need to find the measures of its angles.

Here’s a step-by-step process to identify an obtuse triangle:

1. Draw the triangle: Use a ruler and a protractor to draw a triangle.

2. Measure the angles: Using a protractor, measure the three angles of the triangle. Make sure to measure each angle accurately.

3. Check for obtuseness: Look for an angle that has a measure greater than 90 degrees. If you find an angle with a measure greater than 90 degrees, then the triangle is an obtuse triangle.

If you don’t see any angle greater than 90 degrees, then the triangle is either a scalene triangle (all angles less than 90 degrees) or a right triangle (one angle exactly 90 degrees).

It’s important to note that in an obtuse triangle, the remaining two angles will be acute angles (less than 90 degrees). Additionally, the sum of the measures of the three angles in any triangle is always 180 degrees.

To summarize, an obtuse triangle is a triangle that has one angle greater than 90 degrees, while the other two angles are acute angles.

More Answers:

Properties and Formulas of Squares in Mathematics: Perimeter, Area, and Diagonal Calculation
Pythagorean Theorem and Trigonometric Functions: Understanding Right Triangles and Solving Mathematical Problems
Exploring Acute Triangles: Definition and Example

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