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how can you tell if a triangle is acute or obtuse

by Pete Little Published 3 years ago Updated 3 years ago

To determine whether the triangle is acute, right, or obtuse, add the squares of the two smaller sides, and compare the sum to the square of the largest side. Since this sum is greater, the triangle is acute.

Full Answer

How can an isosceles triangle be considered obtuse?

The properties of an isosceles obtuse triangle are listed below:

  • It has one obtuse angle and two acute angles which are equal in measure and each less than 45 degrees.
  • Have two equal sides and two equal angles.
  • The two sides opposite to the equal angles are equal.
  • The side opposite to the obtuse angle is the largest side of an isosceles obtuse triangle.
  • The sum of all the interior angles should be 180 degrees.

More items...

Can obtuse triangle be an isosceles triangle?

Yes, an obtuse triangle can be isosceles. What are acute isosceles? By definition, an acute isosceles triangle will have at least two sides (and at least two corresponding angles) that are congruent, and no angle will be greater than . Addtionally, like all triangles, the three angles will sum to . What is an obtuse scalene?

How many degrees is an obtuse triangle?

Whenever a triangle is classified as obtuse, one of its interior angles has a measure between 90 and 180 degrees. An obtuse triangle has only one angle greater than 90° since the sum of the angles in any triangle is 180°.

What are some real world examples of an obtuse angle?

  • The ledge holding up my piano keyboard.
  • The angle between the back of my couch and the seat.
  • The angle at the top of the lamp shade.
  • The angle at the bottom of my coffee mug.
  • The angle at the bottom of the pot which holds a plant.
  • Almost every corner of the room since 90 degree corners seem to have eluded the builder.

How to tell if a triangle is acute or obtuse?

How can you tell if 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. A right triangle is a triangle with one 90 degree angle. Click to see full answer.

What is an obtuse triangle?

What does obtuse triangle mean? 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 ...

What is an acute angle?

An acute angle is any angle less than 90 degrees. So, as its name suggests, an acute triangle is a triangle whose three angles are all smaller than 90 degrees. Measure all the angles, and if they are less than a right angle (a 90-degree or square angle), then it's an acute triangle.

Can a Euclidean triangle have more than one obtuse angle?

Since a triangle's angles must sum to 180° in Euclidean geometry, no Euclidean triangle can have more than one obtuse angle.

What is an obtuse triangle?

An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.

How to find the height of an obtuse triangle?

To find the height of an obtuse triangle, you need to draw a line outside of the triangle down to its base (as opposed to an acute triangle, where the line is inside the triangle or a right angle where the line is a side).

What is the longest side of an obtuse triangle?

The longest side of an obtuse triangle is the one opposite the obtuse angle vertex. An obtuse triangle may be either isosceles (two equal sides and two equal angles) or scalene (no equal sides or angles). An obtuse triangle has only one inscribed square.

What are the different types of triangles?

From there, triangles are classified as either right triangles or oblique triangles. A right triangle has a 90° angle, while an oblique triangle has no 90° angle. Oblique triangles are broken into two types: acute triangles and obtuse triangles.

What is the name of the triangle with the largest square fitting in the interior?

Special Obtuse Triangles. The Calabi triangle is the only non-equilateral triangle where the largest square fitting in the interior can be positioned in three different ways. It is obtuse and isosceles. The smallest perimeter triangle with integer length sides is obtuse, with sides 2, 3, and 4. 03.

How many sides does an equilateral triangle have?

An equilateral triangle has three sides of equal length and three equal angles of 60°. An acute triangle has three inscribed squares. Each square coincides with a part of a triangle side. The other two vertices of a square are on the two remaining sides of the acute triangle.

What is a special acute triangle?

Special Acute Triangles. The Morley triangle is a special equilateral (and thus acute) triangle that is formed from any triangle where the vertices are the intersections of the adjacent angle trisectors.

Identifying Acute, Obtuse, and Right Triangles

Step 1: Does the triangle have an angle greater than ninety degrees? If yes, then it is an obtuse triangle. If not, go to the next step.

Identify Acute, Obtuse, and Right Triangles: Example Problem 1

From the figure of triangles above, how would you classify triangle A?

Identify Acute, Obtuse, and Right Triangles: Example Problem 2

From the figure of triangles above, how would you classify triangle B?

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