Mathematics is undoubtedly one of the most important subjects in our curriculum, especially for architects. It is a vivid and vast subject with a wide variety of applications in daily life instances. It is linked with many small and large businesses. It is critical to apprehend the fundamentals of mathematics because it assists in solving complex problems. Mathematics is a very common subject in all exceptional fields. This difficult subject can be very easy if one develops a constructive approach to solving every problem. This approach can be developed only through undeterred practice. In any other case, this subject is no less than a nightmare. Mathematics encompasses many unique shapes and sizes with exemplary properties and axioms. This is where lies the splendor of the subject. These characteristics of this crucial subject make it exciting. It is very essential to study these important figures.Â

Triangle is one of the basic figures studied in mathematics. It is extremely necessary to study this figure because it is related to many problems. One of the most discussed triangles is the right triangle. It resembles many unique properties which is the major highlight of this figure. Therefore, it is very necessary to study this figure and be well-aware of all its properties. The right-angled triangle, just like any other triangle is composed of three sides that are joined together. It consists of three basic: the hypotenuse, the perpendicular, and the base. This article discusses in detail all the properties related to the right-angled triangle.

## Major terminologies related to right-angled triangles:

**Supplementary nature:** Since the right-angled triangle is a triangle, it follows the basic principles related to triangles. The summation of the three distinct angles is equivalent to one hundred and eighty degrees. This is one of the most important properties of triangles and has been used to solve many complex problems. This is the reason why one should be well-aware of this property.

**The measure of one angle:** Since it is right-angled the angle formed between the perpendicular and the base must be identical to ninety degrees. This is the basic requirement of a right-angled triangle. It is not possible to draw a right-angled triangle without one angle being equivalent to ninety degrees.

**TheÂ pythagoras theorem:** This is the most important terminology related to right-angled triangles. It states that the hypotenuse is the largest side of a right-angled triangle and the square of the hypotenuse is identical to the summation of the squares of the base and perpendicular respectively. This theorem proves to be a vital catalyst in solving many complex problems. Many tough problems of Mathematics are solved by the application of this theorem. The derivation of this theorem is very important and is asked in all crucial examinations. This theorem is applied in higher Mathematics. It is crucial to develop clarity in this theorem before solving complex problems related to triangles.

**Properties:** The properties of right-angled triangles are similar to all other triangles. It follows the properties of similarity and congruency. It is very important to read about these properties in detail.

**Formulation of area:** The area of a right triangle is identical to the product of the base and the height. It is crucial to know how to calculate the area of the triangle.This article discusses in detail all the properties related to the right-angled triangle. It is a very important topic from the examination perspective. Therefore, it is crucial to practice this topic properly and develop clarity. It is going to be very difficult to solve the problems related to this topic without practice. Students dedicate their crucial time to study this topic and do well in the examination. One can take the assistance of Cuemath, an online platform that helps students in studying important topics related to coding and mathematics. Many teachers utilize this platform to discover new ways of teaching and connecting with the students. This article will play a vital role in explaining the basic properties of the right-angled triangle to the reader.