Is it possible for a triangle to have two obtuse angles? Why?
2006-12-15 17:54:56 · 16 answers · asked by Laura 1 in Science & Mathematics ➔ Mathematics
equilateral triangle are defined as triangles that has the same internal angles for every vertex
and since a plane triangle can only have a total of 180 degrees therefore the angles are all 60 degrees
the possibillity of a triangle having two obtuse angles can only be seen in a spherical triangle but i think you are only pointing of plane triangle which is a triangle that can be drawn in a plane it is impossible you can try it if you want so youll know it first hand
2006-12-15 20:40:39 · answer #1 · answered by arn_14 2 · 0⤊ 1⤋
What are the size of the angles in an equilateral triangle?
An equilateral triangle has all three sides equal in length. Its three angles are also equal and they are each 60º.
Is it possible for a triangle to have two obtuse angles? Why?
NO; because
An obtuse angle is an angle measuring between 90 and 180 degrees.
EXAMPLE
Is it possible for a triangle to have more than one obtuse angle?
Solution:
Step 1: Let the angles of the triangle be a, b and c. Let a be the obtuse angle.
Step 2: The sum of all the angles in any triangle is 180º.
a + b + c = 180º.
If a > 90º then b + c must be less than 90º. Therefore, b and c must be acute angles.
Answer: No, a triangle can only have one obtuse angle.
2006-12-15 18:16:03 · answer #2 · answered by Anonymous · 0⤊ 0⤋
IN an equilateral triangle all angles are equal. As the sum of the three angles is 180°, each angle has 180/3 =60°
the sum of the angles of a triangle is 180° . As an obtuse angle is higher than 90°, you can not have 2 obtuses angles since the sum would be higher than 180°
2006-12-15 18:01:41 · answer #3 · answered by maussy 7 · 0⤊ 1⤋
Every angle in an equilateral triangle is 60 degrees.Equilateral triangle means -lenght of the three sides are equal and angles are equal .The figure is a regular one.
No triangle can have two obtuse angles. It contradicts the fact that the sum of the three angles is 180 degrees
2006-12-15 18:47:42 · answer #4 · answered by Mahadevan S 1 · 0⤊ 0⤋
All three internal angles are 60°.
All three external angles are 300°.
Is it possible for a triangle to have two obtuse angles? No.
Why? It will only be an equilateral triangle when these conditions are fulfilled (because it's symmetrical in structure).
2006-12-15 21:26:22 · answer #5 · answered by Brenmore 5 · 0⤊ 0⤋
60 degrees; no, because an obtuse angle is greater than 90 degrees and there are only 3 angles in a triangle that add to a total of 180 degrees so you couldn't have two angles with more than 90 degrees.
2006-12-15 18:00:51 · answer #6 · answered by Me 2 · 0⤊ 1⤋
all the angles in an equilateral triangle are 60 degrees
this is because all angles are equal and the sum of all the angles in a triangle should be equal to 180 degrees
hope this helps
2006-12-15 20:07:48 · answer #7 · answered by blackcat XIII 5 · 0⤊ 0⤋
60 degrees. 3 x 60 = 180.
no, if the angle is less than 90 degrees it is an acute angle. if the angle is equal to 90 degrees, it is a right angle. if the angle is greater than 90 degrees, it is an obtuse angle. for example, 2 x 91 = 182, already this 'triangle' has exceeded it's 180 limit.
2006-12-15 18:05:57 · answer #8 · answered by Christopher 2 · 0⤊ 1⤋
60 degrees .
no its not possible , because the sum of all the angles in a triangle is 180 degrees .obtuse angles are defined as more than 90 degrees , so if for example we have one obtuse angle 100 degrees that leaves only 80 for the remaining 2 angles which is less than 90 and therefore not obtuse .
thats why its also impossible to have more than one ERECT angles (90 +90 = 180 leaving nothing for the third angle)
2006-12-15 17:57:55 · answer #9 · answered by shogunly 5 · 0⤊ 2⤋
no. obtuse is greater than 90 degrees. and a triangle can only have 180 degrees. so you can have a 90, 89, 1 degree angles in a triangle but you cant have 2 obtuse
2006-12-15 17:58:51 · answer #10 · answered by Anonymous · 0⤊ 1⤋