obtuse triangle
An obtuse triangle is a type of triangle that has one angle measuring more than 90 degrees
An obtuse triangle is a type of triangle that has one angle measuring more than 90 degrees. In other words, it is a triangle with one “obtuse” angle.
To understand obtuse triangles better, let’s recall some basic triangle concepts:
1. Angles of a triangle: The sum of the interior angles of any triangle is always 180 degrees. If a triangle has one obtuse angle, then the sum of the other two angles will be less than 90 degrees.
2. Types of triangles based on angles:
a. Acute triangle: A triangle in which all three angles are less than 90 degrees.
b. Obtuse triangle: A triangle in which one angle is greater than 90 degrees.
c. Right triangle: A triangle in which one angle is exactly 90 degrees.
Now, let’s work through an example:
Example: Determine if a triangle with angles measuring 60 degrees, 70 degrees, and 75 degrees is an obtuse triangle.
To determine if a triangle is obtuse, we need to identify the angle with the largest measurement. In this case, the angle measuring 75 degrees is the largest.
To decide if it is obtuse or not, we need to compare the largest angle to 90 degrees. Since 75 degrees is less than 90 degrees, this triangle is not an obtuse triangle.
In summary, an obtuse triangle is a triangle with one angle measuring more than 90 degrees, and the sum of the other two angles is less than 90 degrees.
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