What is the 45 45 90 Triangle Rule?
Triangles whose two opposite angles are the same over 45 degrees are known as the 45 45 90 triangle. In this context, there is a basic rule of the triangle. In particular, this rule is handled and associated through the edge connection. For example, if the side opposite 45 degrees is expressed as ‘a’, the side opposite 90 degrees is described as ‘a root 2’. Thus, if any side in the 45-45-90 triangle is known, the other sides can be found easily.
What Are the Properties of the 45 45 90 Triangle?
The 45-45-90 triangle, which stands out with some of its main features, also allows many operations to be done easily thanks to these features.
– It is an isosceles triangle.
– It is also a right triangle.
– The side opposite 90 degrees is root 2 times the side opposite 45 degrees.
– The area of the triangle can be found easily over two perpendicular sides.
– The side lengths have a fixed connection.
– When a perpendicular is defeated over a right angle, the hypotenuse can be divided into two equal parts.
In this way, the fixed triangle of 45-45-90 comes to the fore, together with the features given above. It is possible to say that it is a triangle that is evaluated analytically, along with many different geometry problems.
How to Find Area in a 45-45-90 Triangle?
The 45-45-90 triangle is also expressed as a right triangle. For this reason, the area can be found easily if one of the perpendicularly intersecting side lengths is known. In this context, if an edge opposite 45 degrees is ‘a’, then the area formula is:
Area of 45 45 90 triangle = axa / 2
How to Find Perimeter in 45 45 90 Triangle?
It is possible to find the circumference quite easily over the 45-45-90 triangle. In general, the perimeter can be found by adding all the sides of the triangle. Since it is also an isosceles triangle, if the side length opposite to 45 degrees is ‘a’ and the side length opposite to 90 degrees is ‘b’, the formula can be handled in this way;
45 45 90 triangle circumference = 2a + b