What are the 6 properties of triangle?

Let us discuss here some of the properties of triangles.

• 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.

What are rules for special triangles?

Special Right Triangles The longest side is always the hypotenuse, and it will always be located across from the 90-degree angle. The other two sides, which we call the legs, may or may not be of equal length.

What is a special triangle in math?

Special right triangles are triangles whose sides are in a particular ratio, known as Pythagorean Triples. The two special right triangles include: 45°; 45°; 90° Triangle. 30°; 60°; 90° Triangle.

What are the properties of a 3 4 5 triangle?

The 3-4-5 right triangle is a Pythagorean Triple, or a right triangle where all the sides are integers. In this particular triangle, the lengths of the shorter sides are 3 and 4, and the length of the hypotenuse, or longest side, is 5.

What are the 10 properties of triangle?

The properties of a triangle are:

• A triangle has three sides, three angles, and three vertices.
• The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.
• The sum of the length of any two sides of a triangle is greater than the length of the third side.

What are the 5 properties of triangle?

What are the 5 Properties of a Triangle?

• A triangle has three sides, three vertices, and three angles.
• The sum of the three interior angles of a triangle is always 180°.
• The sum of the length of two sides of a triangle is always greater than the length of the third side.

Which are the special triangles and why?

In all the (Euclidean) world, up to simple scaling, there is only one pair of triangles with the following properties: One triangle is a right triangle and one is isosceles, All side lengths of both triangles are rational numbers, and.

What makes special right triangles special?

A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an “angle-based” right triangle.

Why are special angles special?

What is so special about them? Because it is easy to ‘exactly’ evaluate the trigonometric function without using a calculator for these angles. These angles have comparatively clean values, offering us a great deal to solve Math problems.

Does 6.4 12 and 12.2 form a right triangle?

Q. a = 6.4, b = 12, c = 12.2 is this a right triangle? Yes, it is a right triangle.

What are special right triangles in geometry?

What are special right triangles? They are 2 very specific kinds of triangles that have a special relationship between their angles and side lengths. They are called 45 45 90 triangles, and 30 60 90 triangles.

What are the properties of triangles?

So before, discussing the properties of triangles, let us discuss types of triangles given above. Scalene Triangle: All the sides and angles are unequal. Isosceles Triangle: It has two equal sides. Also, the angles opposite these equal sides are equal. Equilateral Triangle: All the sides are equal and all the three angles equal to 60°.

What is special about 45 90 and 30 60 90 triangles?

45 45 90 and 30 60 90 triangles are special because they don’t have this problem. The trigonometric values of their angles can be written precisely, so their side lengths can also be found precisely. No nasty decimals, rounding, or calculators needed!

How many types of right triangles are there?

Although all right triangles have special features – trigonometric functions and the Pythagorean theorem. The most frequently studied right triangles, the special right triangles, are the 30, 60, 90 Triangles followed by the 45, 45, 90 triangles.