In the world of mathematics whenever a figure will be formed by two kinds of different rays it will be known as the sides of the angle which will be sharing a common endpoint which will be known as the vertex of the angle. The angles that are always created by two kinds of rays at the intersection of two planes will also help in forming different kinds of angles. The angle is also very well utilised in terms of designating the measure of the angle or a particular rotation.

In the cases of **right angle** the very basic definition will be that this will be the angle which will be having the measure of exactly 90° and this particular angle is known as the right angle. The angle which is measuring less than 90° will be the acute angle and the angle which is measuring more than 90° will be the obtuse angle. The measure of angle can be perfectly written in the form of degrees or radians.

The right-angled triangle will be the one that will be having three sides of base, perpendicular and hypotenuse. The angle will always be present between the base and the perpendicular and it will be 90° which is the main reason that triangle is known as the right-angled triangle. This is one of the most basic shapes in the world of geometry which is also very well used in the world of trigonometry.

The right-angle triangle is always based upon a comprehensive formula which is also known as the Pythagoras formula. It very well states that the sum of the square of the base and perpendicular will always be equal to the square of the hypotenuse.

## Following are the very basic properties of the right angle triangle:

- It will be having exactly one angle equal to the 90°
- All the angles other than the right angle will be always acute
- The side opposite to the vertex of the 90° will be the hypotenuse and will also be referred to as the longest side of the triangle
- The other two sides which are adjacent to the right angle or known as base and perpendicular
- The circumcircle of the right triangle will always pass through three vertices and the radius of the circle will always be equal to half of the length of the hypotenuse.

In the case of the area of the right-angle triangle, the formula will be perfectly implemented in the form of half of the base into height. Another very important category of the right angle triangle is the right angle Isosceles triangle in which the base and perpendicular will be there and the other two sides than the hypotenuse will be congruent. This is known as the isosceles right triangle and in this particular type of triangle the angles will be made by the base and perpendicular and both of them will be measuring at 45°. The right angle is a very commonly observed shape into different kinds of areas in normal day to day life as well. It is very much important for the kids to note that three angles of the triangle can never be altogether right because if one of the angles is the right angle then the other two will always have to be acute to satisfy the sum of the angles property of the triangle.

Hence, being clear about all the above-mentioned points is the key to success in this particular area so that people can solve the questions very easily. Further depending upon the experts from the house of Cuemath is the best possible way of ensuring that people can have a good command over the concept of **congruent angles** without any of problem and this is the best way of scoring well in the maths exam.