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The angle sum of any triangle is 180 degrees. It does not matter whether it is equilateral, isosceles or scalene, nor whether it is acute angled, right angled or obtuse angled (or any permitted combination).
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Can an obtuse isosceles triangle has two congruent sides and two obtuse angles?
No the answer is no people think about it a triangles sides all have to sum up to be 180 degrees.
Why do know that a right triangle has no obtuse interior angles?
All triangles have interior angles that add to 180 degrees. Let's call the 3 angles A,B, and C and angles A the 90 degree one. If 90+B+C=180. If angle B was the angle greater than 90 degrees (obtuse) then C would be 0 or negative degrees. Therefore, a right triangle can't have an obtuse interior angle. Sum of all angles in a triangle is 180o. In a right triangle one angle is 90o and other two angles sum up to 90o. A right triangle can't have an obtuse angle because obtuse angle is greater than 90o. So, sum of the two angles(right angle and obtuse angle) will be greater than 180o which is not possible.
What is the measure of an acute base angle of the trapezoid of an isosceles triangle vertex of 46 degrees?
For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.
What is The sum of any 2 sides of an isosceles triangle?
Depends from the given information. For example, if it is given the measure of the angle base θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to 2a = b/cos θ If it is given the measure of the angle base θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to 2a = 2h/sin θ If it is given the measure of the vertex angle θ, and the length of the base b, the sum of the sides a of the isosceles triangle equals to 2a = b/sin θ/2 If it is given the measure of the vertex angle θ, and the length of the height h, the sum of the sides a of the isosceles triangle equals to 2a = 2h/cos θ/2 If it is given the length measures of the base b and the height h, the sum of the sides a of the isosceles triangle equals to 2a = √(h4 + b2) (from the Pythagorean theorem)
What is he sum of the angles of an obtuse triangle?
The sum of the interior angles on an Obtuse Triangle is 1800 . This is true of ALL triangles.
Where is the obtuse in the isosceles triangle?
If it were one of the two equal angles it would mean the sum of the triangle's angles would be greater than 180o. It can only be the other angle.
Is a equilangular obtuse triangle possible?
If by equilangular you mean all angles are the same, then no - the sum of the angles of a triangle must be 180o, so if all 3 are the same they must each be 60o and the triangle is called equilateral. However, an obtuse isosceles triangle is possible as the equal angles are the other two angles to the obtuse angle.
Which triangles have one obtuse angle?
If the triangle has an obtuse angle then the other two angles must sum to less than 900. The triangle therefore CANNOT be an equilateral triangle. It CAN be an isosceles triangle with the two equal angles summing to less then 900. For Example, 1200, 300, 300. It could also be a scalene triangle with angles such as 1200, 500, 100.
Can a triangle have 2 obtuse angles and one acute angle?
Nope, only one obtuse angle in a triangle is possible. The sum of the interior angles of a triangle is always 180º and an obtuse angle is larger than 90º. Thus the sum of two obtuse angles would be greater than 180º even without including an acute angle.
Why cant you have two obtuse angles in a triangle?
Angle sum property of a triangle states that the sum of angles in any triangle should be 180 degree. An angle greater than 90 degree is an obtuse angle. If we have 2 obtuse angles in a triangle, say, 95 degree, 100 degree & 50, it always tend to violate the angle sum property of the triangle. So we cannot have 2 obtuse angles in a triangle.
What is the total angle measure of isosceles triangle?
The sum of all three interior angles of any triangle, isosceles or not, is 180 degrees.
Show an example of a triangle with an obtuse angle and a right angle?
This is not possible. If a triangle is a Right angled triangle then the sum of the two angles which are not right will be = 90 [Angle Sum Property] That's why you see.
Is it possible for a triangle to have both a right angle and an obtuse angle?
No. An "obtuse" angle is greater than 90 degrees. (An angle of less than 90 degrees is an "acute" angle.) Since a Right angle is a 90 degree angle, there is no way to have another angle in the triangle that is "obtuse", because then the sum of the first TWO angles would equal more than 180 degrees. The sum of all THREE angles in a triangle sum exactly 180 degrees.
Why can there only be one obtuse angle in a triangle?
Sum of angles of triangle = 180o: minimum size of obtuse angle is greater than 90o; It is not possible to have two angles of a triangle which total more than 180o.
Describe the angle of an obtuse traingle?
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°.
Do some triangle have two obtuse angle and 1 acute angle?
No because any triangle must have a total of 180 degrees when the angles are added together and with 2 obtuse angles the sum would be greater than 180. A triangle can only ever have one obtuse angle.
Can a triangle have 1 obtuse angle and 2 acute angles?
A triangle can have one obtuse angle and two acute angles. The sum of all three angles must equal 180 degrees.
