A right angle is an angle that measures about 90 degrees. Have you ever observed the edges or corners of your smartphone, the corners of the room, the corners of a book or a box? If yes, then you might have seen a very unique fact about these edges or corners that all the corners are right-angled which measures 90 degrees.
A right-angle always appears as an alphabet ‘l’. This shape can be observed in your clock hands showing 3:00 P.M. In this article we may try to cover some important topics related to right angles such as the properties of a right-angled triangle, the formula of a right-angled triangle, and the area of the right-angled triangle.
Some Important Right Angled Triangle Properties
Any angle measuring 90 degrees is known as a Right angle. The following points mentioned below analyses the significant properties of right-angled triangle:
- A right-angled triangle exactly consists of an angle that measures about 90 degrees.
- The angle which is less than or more than 90 degrees can be termed as a right angle. If the angle is less than 90 degrees it will be termed as an acute angle whereas if it is in between, that is more than 90, and less than 180 it will be termed as obtuse angle.
- The side which is exactly opposite to that of the perpendicular of a triangle is known as the longest side. The term given for the longest side is hypotenuse.
- The other two sides except the hypotenuse are defined as the adjacent or the base and the perpendicular.
- The resultant value that comes if we add two interior angles of a right-angled triangle will always be equal to 90 degrees.
Formula Given for Right-angled Triangle
The formula that is given for a right-angled triangle has been derived from a theorem known as the Pythagoras theorem. This theorem basically signifies that the square of the longest side ( hypotenuse ) will be equal to the sum of the squares of the adjacent or base and perpendicular. Mathematically, we can write this formula as; hypotenuse. hypotenuse = base.base + perpendicular.perpendicular .
Formula of Area of Right Angled Triangle
 The area of the right-angled triangle can be defined as the space which is enclosed by the sides or edges of the triangle in a two-dimensional plane. The exact formula which is stated for the area of the right-angled triangle is ½ * b * h where ‘b’ is the base of the triangle and ‘h’ is the height of the triangle. In order to understand this concept in a detailed manner, we may solve an example.
Example 1:
Find the area of a right-angled triangle provided that base is 2 cm and height is 5 cm?
Given that,
Base of the triangle is = 2 cm
Height of the triangle is = 5 cm
Using the formula of Area of right-angled triangle, ½ * b * h where ‘b’ is base and ‘h’ is the height,
½ * 2 * 5 = 5 cm
Thus, the area of the right-angled triangle is equal to 5 cm.
Obtuse Angle
Any angle that is more than 90 degrees and less than 180 degrees is known as an obtuse angle. For example, any angle that measures 120 degrees,110 degrees, 95 degrees, or 149 degrees is an obtuse angle. You might have observed a pair of scissors or a wide-opened door or a book that is opened in a certain way, all these objects are real-life applications of an obtuse angle. A unique fact of this angle is that it may appear only once in a triangle. In other words, a triangle consists of only one angle that is obtuse.
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