Properties of Right Angled Triangle
A Right Angled Triangle has the following key properties :
- One of the angles in a right-angled triangle is exactly 90 degrees.
- Side opposite the right angle is the longest side of the triangle and is called the hypotenuse.
- For triangles with the same angles, the sides are in a consistent ratio. For example, in a 45-45-90 right triangle, the sides are in the ratio 1:1:√2, and in a 30-60-90 triangle, the sides are in the ratio 1:√3/2.
- Altitude drawn to the hypotenuse of a right triangle creates two smaller right-angled triangles, each of which is similar to the original right-angled triangle.
- Every right-angled triangle has a circumcircle (circle passing through all three vertices) with the hypotenuse as its diameter. It also has an incircle (circle tangent to all three sides), with the center at the intersection of the angle bisectors.
Right Angled Triangle | Properties and Formula
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.
Table of Content
- What is a Right Angled Triangle?
- Right Angled Triangle Definition
- Properties of Right Angled Triangle
- Right Triangle Formula
- Perimeter of Right Angled Triangle
- Right Angled Triangle Perimeter Formula
- Right Angled Triangle Area Formula
- Derivation of Right Angled Triangle Area Formula
- Hypotenuse of Right Angled Triangle
- Examples on Right Angled Triangle