Types of Triangle based on Angle
Types of Triangle based on Angle
Types of Triangle based on Angle:
An acute triangle has three angles that each measure less than 90 degrees. An equilateral triangle is a triangle in which all three sides are the same length. 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.
The prefix “tri” means three. Triangle means three angles.
To classify a triangle according to its angles, you must look at the angles inside the triangle. Use the number of degrees in these angles to classify the triangle. Let’s look at a picture of a triangle to explain.
Look at the measure of each angle inside the triangle to figure out what kind of triangle it is. There are four types of triangles based on angle measures.
A right triangle is a triangle that has one right angle and two acute angles. One of the angles in the triangle measures and the other two angles are less than 90. Here is a picture of a right triangle.
You can see that the 90 degree angle is the one in the bottom left corner. You can even draw in the small box to identify it as a 90 degree angle. If you look at the other two angles you cans see that those angles are less than 90 degrees and are acute.
Let's look at an example of a right angle.
This triangle has one angle and two
angles. Find the sum of the three angles.
The sum of the three angles of a triangle is always equal to 180∘.
In an equiangular triangle, all three of the angles are equal.
The three angles of this triangle are equal. This is an equiangular triangle.
You know that the sum of the three angles is equal to , therefore, for all three angles to be equal, each angle must be equal to
.
The sum of the angles is equal to .
In an acute triangle, all three angles of the triangle are less than 90 degrees. Here is an example of an acute triangle.
All three of these angles measure less than 90 degrees.
=
The sum of the angles is equal to .
An obtuse triangle has one angle that is greater than 90 and two angles that are less than 90.
=
The sum of the angles is equal to .
A triangle has angle measurements of 39°, 70°, and 71°. What type of triangle is this? | |||
| Right Option : B | |||
| View Explanation | |||
An equilateral triangle is also an _______ triangle. | |||
| Right Option : A | |||
| View Explanation | |||
A triangles cannot have more than _______________ obtuse angles. | |||
| Right Option : B | |||
| View Explanation | |||
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