Right Angle Formula:
A triangle is a simple closed geometrical figure which is bounded by three line segments. It has a three-sided polygon, three vertices, and three angles.
Triangles are three types according to their sides, they are Equilateral triangle, Isosceles triangle, and Scalene triangle.
According to the measures of their angles, it is of three types: Acute angled triangle, Obtuse angled triangle, and Right-angled Triangle.
Right Angle Triangle:
A triangle with one of its angles is a right angle that is 90° is known as the Right Angle Triangle or a Right Triangle. The side which is opposite to the right angle is the hypotenuse. A right-angle triangle must not be an equilateral triangle because one of its angles is always 90° and the other two measure 45° each.
Right Angle Formula
The formula of the Right-angled triangle can be explained by Pythagoras Formula. The statement of the formula is given by “The square of the hypotenuse is equal to the sum of the squares of the other two sides”. The Pythagoras Formula is given below,
(Hypotenuse)² = (Base)²+(Perpendicular)²
That is H²=B²+P²
Here, H represents Hypotenuse which means the side of a right-angled triangle that is opposite the right angle.
B represents Base which means the side on which the right angle triangle stands.
P represents Perpendicular which means the straight-line forms right angles.
Also see: Altitude of a triangle formula
Perimeter formula of Right Angled Triangle
The sum of all the sides is the perimeter of a right triangle. For example, the perimeter of the triangle is (a + b + c), if a, b, and c are the sides of a right triangle. Now since this is a right triangle, we can say that its perimeter is equal to the sum of the lengths of the two sides and the length of the hypotenuse. The formula which is to find the perimeter of a triangle is,
Perimeter of a right triangle = a + b + c
Area formula of Right Angled Triangle:
The area of a right triangle gives the spread or space that the triangle occupies. It is equal to half the product of the base times the height of that triangle. Since it is a two-dimensional quantity, it is expressed in square units.
The base and height are the only two sides needed to find the area of a right triangle. Using the definition of a right triangle, the area of a right triangle is given by,
The area of a right triangle = (1/2 × base height) square units.
Properties of Right Angle Triangle
There are various properties of right-angle triangle,
- The right-angle triangle does not have any obtuse angle
- The largest angle is 90 degrees
- The longest side is the hypotenuse
- The sides follow the Pythagoras formula