Which of the following sets of angles can represent a triangle Why?
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Which one of the following sets of numbers could represent the lengths of the sides of a triangle? (a) (8,11,19) (b) (19,16,20), (c) (11,5,5) , (d) 13,4,8)?
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1 Answer CW Dec 16, 2016 #(b) (19,16,20)# Explanation:The sum of the lengths of any two sides of a triangle must be greater than the third side. #(a) (8,11,19) => 8+11#not greater than#19#, (N.G.) Hence, option#(b)#is the only answer. Answer link Related questions
Impact of this question60107 views around the world You can reuse this answer An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. For better understanding, look at the following example. In this image, triangle XYZ has an obtuse angle at Y. Therefore, this triangle is an obtuse-angled triangle. Note that the other two angles are less than 90 degrees, and all the angles of the triangle add up to 180 degrees. Real-life ExamplesA cloth-hanger has an obtuse angle where the hook is attached at the top. Non-Examples of Obtuse AnglesIn the above examples, we can clearly see that the triangle shapes do not have an angle greater than 90°. Therefore, this is not an obtuse triangle. Special Facts About the Obtuse Triangle
Types of an Obtuse Triangles
Solved Examples
Answer: No, the given figure is not an obtuse triangle as all the angles are less than 90°.
95°, 30°, 55°. Answer: Yes, these angles will form an obtuse-angled triangle, as 95 degrees is an obtuse angle and the sum of the angles(95 + 30 + 55) is 180 degrees.
Answer: It is an obtuse scalene triangle as none of its sides are equal. Practice ProblemsObtuse TrianglesAttend this Quiz & Test your knowledge. 1 60°, 35°, 85° 105°, 65°, 10° 65°, 45°, 70° 60°, 50°, 70° CorrectIncorrect Correct answer is: 105°, 65°, 10° 2 45° each 55° each 20° each 35° each CorrectIncorrect Correct answer is: 35° each 3 13 cms 16 cms 24 cms 12 cms CorrectIncorrect Correct answer is: 13 cms Frequently Asked QuestionsCan a triangle have two obtuse angles? No, a triangle cannot have two obtuse angles, as the sum of the three angles cannot exceed 180 degrees. How do you distinguish between acute and obtuse triangles? Obtuse triangles have one angle that’s greater than 90°. In acute triangles, all the angles are less than 90°. Can an obtuse triangle have one right angle? No, a triangle cannot have both obtuse and right angles, as the sum of the three angles cannot exceed 180 degrees. How do you know if a triangle is obtuse? We can easily identify an obtuse triangle by looking at its angles. If any angle measures more than 90°, that triangle is an obtuse triangle. What sets of angles can form a triangle?Hence, a triangle can be drawn with the angles as 45°, 45°, and 90°.
Which of the following angles is a triangle?The angles 160°, 10° and 10° make a triangle.
Can you form a triangle with the given angles 80 100 and 30 why why not?Answer: no it can't be measures of a triangle because the sum of angles of a triangleis 180.
Which set of angles can form a triangle acute?An acute triangle (or acute-angled triangle) is a triangle with three acute angles (less than 90°). An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles.
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