Often asked: How many right angles can be in an obtuse triangle?

How many right angles does a obtuse triangle have?

An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles. Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

Can an obtuse triangle have a right angle?

A triangle cannot be rightangled and obtuse angled at the same time. Since a rightangled triangle has one right angle, the other two angles are acute. Therefore, an obtuseangled triangle can never have a right angle; and vice versa. The side opposite the obtuse angle in the triangle is the longest.

Can a right triangle also be obtuse?

A right triangle cannot be obtuse because of the sizes of the angles therein. Any triangle has three sides, three angles, and three angles that equal

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What is the maximum number of obtuse angles a triangle can have?

A triangle can have a maximum of 1 obtuse angle.

What is the greatest number of right angles in a triangle?

Explanation: A triangle has 180o as the sum of all its internal angles, no more, no less. If one angle is 90o, then you can have two 45o angles, one 30o and a 60o, an 81o and a 9o – pretty much any combination of numbers adding up to 90 to make the total 90+90=180.

Why can’t a right triangle have an obtuse angle?

When an angle of a triangle is 90 degrees, the triangle cannot have an obtuse angle. The other two must each be less than 90 degrees (90 deg + 89 deg + 1 deg = 180 deg). It therefore follows that they must both be less than 90 degrees and so must both be acute.

Can 1 acute and 2 obtuse form a triangle?

Types of Triangles. All equilateral triangles are equiangular. A right triangle will have 1 right angle and 2 acute angles. An obtuse triangle will have 1 obtuse triangle and 2 acute angles.

Can a triangle have both an acute and right angle?

Question 945360: A triangle cannot have both an acute angle and a right angle? In a right triangle, BOTH of the other angles MUST be acute. An obtuse angle (greater than 90 degrees) would make the sum of the angles greater than 180 degrees, which is impossible.

Can a triangle have 2 right angles?

No, a triangle can never have 2 right angles. A triangle has exactly 3 sides and the sum of interior angles sum up to 180°. Thus, it is not possible to have a triangle with 2 right angles.

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Can an acute triangle be a right triangle?

A triangle where all three internal angles are acute (less than 90 degrees). Less than 90° – all three angles are acute and so the triangle is acute. Exactly 90° – it is a right triangle.

Do all triangles have right angles?

A right triangle may be isosceles or scalene. In an acute triangle, all angles are less than right angles? each one is less than 90 degrees. An acute triangle may be equilateral, isosceles, or scalene.

Is it possible to have a right isosceles triangle?

An isosceles right triangle is an isosceles triangle and a right triangle. This means that it has two congruent sides and one right angle. Therefore, the two congruent sides must be the legs.

How many obtuse angles are in a triangle?

There can only be one obtuse angle in any triangle. This is because the measures of the interior angles of a triangle always must add up to 180

How many right angles does a triangle have?

A triangle can have one right angle. A quadrilateral can have four right angles. Sum of Interior Angles = 540′.

How many angle Can a triangle have?

In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.

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