Right Angled Triangle

What are Right Triangle formulas in Geometry?

Right triangle formulas are used to calculate the perimeter, area, height, etc. of the right triangle. The formulas of right triangles are,

• Pythagoras Theorem (Formula):  (Hypotenuse)² =  (Perpendicular)² + (Base)²
• Area of Right Triangle Formula: Area =  1/2 × Base × Height
• Perimeter of Right Triangle Formula: Sum of lengths of 3 sides

What is the formula of Right Triangle Area?

Formula for the Area of a Right Triangle is,

Area = 1/2 × Base × Height

What are the Different Types of Right Triangles?

Different types of Right Triangles are :

1. Scalene Right Triangle:
   • Different lengths for all three sides.
   • Example: Sides of 3 cm, 4 cm, and 5 cm.
2. Isosceles Right Triangle:
   • Two equal sides (legs) and one right angle.
   • Example: Legs of 1 cm each, hypotenuse 22​ cm.
3. Special Right Triangles:
   • 45-45-90 Triangle: Equal legs, each acute angle is 45 degrees.
   • 30-60-90 Triangle: Angles of 30, 60, and 90 degrees; side lengths in a specific ratio.

What are Applications of Right Triangle Formula?

Right Triangle Formula is widely used in mathematics, some of the applications of the right triangle formula are,

• Right Triangle Formula is used in studying Triangles and their properties.
• Right Triangle Formula is used in the study of Trigonometry, etc

How to find Height of Right Triangle?

Height of the Right Triangle is calculated using, the Pythagoras theorem, i.e., (H)² = (P)² + (B)² where P is the perpendicular of the triangle and which is also called the height of a Right Triangle.

Right Angled Triangle: A triangle is a polygon with three sides, three vertices, and three angles thus, the name Triangle. A right-angled triangle is a triangle with one right angle (90°). Right Angle Triangle plays a very important role in trigonometry.

In this article, we will learn about the right-angled triangle, including Right Angled Triangle definition, perimeter, area, right-angled triangle formula, and Right Angled Triangle properties in detail.