An obtuse triangle has 1 angle greater than a right angle and 2 acute angles. Its 3 interior angles add up to 180 degrees.
Yes. A right triangle is a triangle where one angle is a right angle. If two out of three angles are right angles, then it's an isosceles triangle. If all three angles are right angles, then it is an equilateral triangle.
It can. An example of an isosceles triangle without any angles greater than 90 would be an equilateral triangle, with all angles equalling 60 degrees. An example with an angle greater than 90 would be a triangle with angles of 100 degrees, 40 degrees and 40 degrees. You couldn't have an isosceles triangle with 2 angles greater than or equal to 90, as all the angles sum to 180 degrees.
A triangle can have either zero or one obtuse angles, but no more than that. An obtuse angle is one that is greater than 90 degrees. The interior angles of a triangle always add up to 180.
Yes. A triangle can have only one obtuse angle. The other two angles will always be acute.
A right triangle has one angle that is always 90degrees. The other angles vary from less than 90degrees to greater than 0degrees. The equilateral triangle always has all of its angles equal to 60degrees.
An obtuse triangle has 1 angle greater than a right angle and 2 acute angles. Its 3 interior angles add up to 180 degrees.
An obtuse triangle is one which has one angle that is greater than 90 degrees.
Yes. A right triangle is a triangle where one angle is a right angle. If two out of three angles are right angles, then it's an isosceles triangle. If all three angles are right angles, then it is an equilateral triangle.
A right triangle will always have exactly one right angle and two acute angles. It will never have an obtuse angle. The easiest proof of that is the fact that sum of the angles in a triangle is always 180o, and if it's a right triangle, then one of it's angles is 90o, leaving only 90o for the angles of both of the other two. Since they both have to be greater than zero for it to qualify as a triangle, they will always both be less than ninety, and thus always acute.
If all three angles of a triangle measure less that 90 degrees (if all three angles are acute), the triangle is an acute triangle. A triangle that has a right angle (an angle the measures exactly 90 degrees) is a right triangle. (The other 2 angles will be acute angles.) A triangle that has an angle that is greater than 90 degrees (an obtuse angle), is an obtuse triangle. (The other 2 angles will be acute angles.)
Yes, because it is equal to the sum of the two of them.
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.
In Euclidean geometry, the sum of the angles in any triangle is always 180 degrees. If one angle in a triangle is obtuse (greater than 90 degrees), the sum of the other two angles must be less than 90 degrees in order to total 180 degrees. This means that the other two angles must be acute (less than 90 degrees) to complement the obtuse angle and satisfy the triangle angle sum theorem.
It can. An example of an isosceles triangle without any angles greater than 90 would be an equilateral triangle, with all angles equalling 60 degrees. An example with an angle greater than 90 would be a triangle with angles of 100 degrees, 40 degrees and 40 degrees. You couldn't have an isosceles triangle with 2 angles greater than or equal to 90, as all the angles sum to 180 degrees.
A triangle can have either zero or one obtuse angles, but no more than that. An obtuse angle is one that is greater than 90 degrees. The interior angles of a triangle always add up to 180.
An acute triangle *is* a triangle with all acute angles. For example, an equilateral triangle where all three angles are 60°.If a triangle has one 90° angle, then it is a right triangle.If it has one angle greater than 90°, then it is an obtuse triangle.