Triangle facts

Triangle Facts:

The sum of all the internal angles of a triangle is always 180o no matter how the triangle is constructed.

The length of any side of a triangle is shorter than the sum of the other two sides

A triangle can always be split into two right triangles no matter how the triangle is constructed

All triangles add up to 180°.

The 7 types of triangles: 

Equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse, and acute.

Equilateral- In geometry, an equilateral triangle is a triangle whose all three sides are of equal length.

Obtuse Scalene- An obtuse triangle is any triangle that has an obtuse angle. An obtuse angle is one that measures greater than 90 degrees. An acute angle is one that measures less than 90 degrees. A scalene triangle is one that has all three sides of a triangle of different lengths and all three angles of different measures.

Acute Scalene- As mentioned, an acute triangle consists of three acute angles (measuring less than 90 degrees), while scalene triangles contain three unequal sides and angles. Therefore, an acute scalene triangle has the following properties: Three intersecting line segments. Three acute angles. None of the sides are equal.

Right isosceles - An Isosceles Right Triangle is a right triangle that consists of two equal-length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

Obtuse isosceles - An isosceles triangle is a triangle that has at least two equal sides. So, for an isosceles triangle to be considered obtuse, it just has to be a triangle with two equal sides and an angle that is between 90 degrees and 180 degrees.

Acute Isosceles - Isosceles triangles always have two equivalent interior angles, and all three interior angles of any triangle always have a sum of degrees. Since this is an acute isosceles triangle, all of the interior angles must be acute angles.

Right scalene - It has no equal sides so it is a scalene right-angled triangle. And, like all triangles, the three angles always add up to 180°