What are the three special right triangles?

What are the three special right triangles?

There are three types of special right triangles, 30-60-90 triangles, 45-45-90 triangles, and Pythagorean triple triangles.

What are the properties of the triangles?

The properties of the triangle are:

• The sum of all the angles of a triangle (of all types) is equal to 180°.
• The sum of the length of the two sides of a triangle is greater than the length of the third side.
• In the same way, the difference between the two sides of a triangle is less than the length of the third side.

What are the properties of a 45-45-90 triangle?

All 45-45-90 triangles are considered special isosceles triangles….Properties of 45-45-90 triangles

• The polygon is an isosceles right triangle.
• The two side lengths are congruent, and their opposite angles are congruent.
• The hypotenuse (longest side) is the length of either leg times square root (sqrt) of two, √2.

What are the 2 types of special right triangles?

The two special right triangles include: 45°; 45°; 90° Triangle.

What are special triangles in trigonometry?

THERE ARE TWO special triangles in trigonometry. One is the 30°-60°-90° triangle. The other is the isosceles right triangle. They are special because with simple geometry we can know the ratios of their sides, and therefore solve any such triangle.

What are the 6 properties of triangle?

Properties

• A triangle has three sides and three angles.
• The sum of the angles of a triangle is always 180 degrees.
• The exterior angles of a triangle always add up to 360 degrees.
• The sum of consecutive interior and exterior angle is supplementary.

How many types of triangle with definition?

Triangles can be broadly classified into two types, which are: Triangles based on the lengths of their sides. Triangles based on their interior angles….Six Types of Triangles.

What are the properties of 30 60 90 triangle?

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

What are the special properties of a 30 60 90 triangle?

A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another.