Intermediate Geometry : Triangles
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Example Questions
Example Question #1 : How To Find An Angle In An Acute / Obtuse Triangle
The largest angle in an obtuse scalene triangle is 
Since this is a scalene triangle, all of the interior angles will have different measures. However, it's fundemental to note that in any triangle the sum of the measurements of the three interior angles must equal 
The largest angle is equal to 
Therefore, the final angle must equal:
Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle
In an obtuse isosceles triangle the largest angle is 
An obtuse isosceles triangle has one obtuse interior angle and two equivalent acute interior angles. Since the sum total of the interior angles of every triangle must equal 
Example Question #3 : How To Find An Angle In An Acute / Obtuse Triangle
In an acute scalene triangle the measurement of the interior angles range from 
Acute scalene triangles must have three different acute interior angles--which always have a sum of 
Thus, the solution is:
Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle
The largest angle in an obtuse scalene triangle is 
An obtuse scalene triangle must have one obtuse interior angle and two acute angles.
Therefore the solution is:
All triangles have three interior angles with a sum total of 
Thus, 
Example Question #7 : How To Find An Angle In An Acute / Obtuse Triangle
The largest angle in an obtuse isosceles triangle is 
An obtuse isosceles triangle has one obtuse interior angle and two equivalent acute interior angles. Since the sum total of the interior angles of every triangle must equal 
Example Question #8 : How To Find An Angle In An Acute / Obtuse Triangle
In an acute isosceles triangle the largest interior angle is 
The sum of the three interior angles in any triangle must equal 
Example Question #9 : How To Find An Angle In An Acute / Obtuse Triangle
Find the value of 
To find the value of 
Thus, the solution is:
Example Question #2 : How To Find An Angle In An Acute / Obtuse Triangle
An obtuse isosceles triangle has an interior angle with a measure of 
Select the answer choice that displays the correct measurements for the two other interior angles of the triangle.
An obtuse isosceles triangle has one obtuse interior angle and two equivalent acute interior angles. Since the sum total of the interior angles of every triangle must equal
Therefore, each of the two equivalent interior angles must have a measurement of 
Example Question #11 : How To Find An Angle In An Acute / Obtuse Triangle
A triangle has two equivalent interior angles, each with a measurement of 
Acute isosceles triangle.
Right scalene triangle.
Acute scalene triangle.
Isosceles right triangle.
Obtuse isosceles triangle.
Isosceles right triangle.
The sum of the three interior angles in any triangle must equal 
Since, 
Example Question #91 : Triangles
A particular triangle does not have any equivalent sides, and has one interior angle with a measurement of 
Select the most accurate categorization of this triangle.
Acute isosceles triangle.
Obtuse scalene triangle.
Right isosceles triangle.
Acute scalene triangle.
Right scalene triangle.
Obtuse scalene triangle.
A scalene triangle doesn't have any equivalent sides or equivalent interior angles. Since this triangle has one obtuse interior angle, it must be an obtuse scalene triangle.
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