Mixed

Can a triangle have angles in which one is obtuse one acute and the other a right angle?

Can a triangle have angles in which one is obtuse one acute and the other a right angle?

Since a triangle’s angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle. Acute and obtuse triangles are the two different types of oblique triangles — triangles that are not right triangles because they have no 90° angle.

How do you find the third angle of an obtuse triangle?

What is the measure of its third angle? Explanation: The sum of the angles of any triangle is always degrees. Since the third angle will make up the difference between and the sum of the other two angles, add the other two angles together and subtract this sum from .

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What is acute right and obtuse triangle?

An acute triangle has three angles that each measure less than 90 degrees. Obtuse Triangle. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. Right Triangle. A right triangle is a triangle with one 90 degree angle.

What is acute angle and obtuse angle?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

Which triangle has an obtuse angle?

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°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

What is a acute obtuse and right angle?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees. Learn about angles types and see examples of each.

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How do you solve an obtuse triangle?

You can calculate an obtuse triangle using the lengths of the triangle’s sides. Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together. For example, if the lengths of the sides measure 3 and 2, then squaring them would result in 9 and 4.

How do you determine whether a triangle is acute or obtuse?

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees.