Q.

Which one of the following is an obtuse triangle?


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a

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b

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c

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d

None of these 

answer is A.

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Detailed Solution

Concept- One angle in an obtuse triangle is larger than 90° and less than 180°. One of the angles in a right-angled triangle is 90 degrees. All of the angles in an acute triangle are less than 90 degrees.
A bigger than 90° but less than 180° angle is referred to as an obtuse angle. Obtuse triangle refers to a triangle with an acute angle. Because the total of a triangle's angles is 180 degrees, an obtuse triangle only has one obtuse angle. The triangle's longest side is the one that faces the obtuse angle.
The first figure 1 shows
Question ImageWe can observe that two of the angles are acute (less than 90 degrees) , and one angle is obtuse (more than 90 degrees but less than 180 degrees) . As a result, this triangle is obtuse.
Figure 2 shows
 Question ImageIt is clear that certain angles are sharp and others have a sine value of 90. As a result, it has a right angle.
Figure 3 shows
Question ImageWe can observe that every angle is smaller than 90 degrees, which indicates that every angle is sharp. As a result, the triangle is sharp.
Hence, the correct answer is option 1.
 
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