# Triangles VII - List of properties of Right Angled Triangle

In this post, we will discuss Properties of Right Angled Triangle to solve geometric questions asked in SSC Exams.

A right angled triangle is a triangle which contains one 90° angle. There are some properties related to right angled triangle and many SSC aspirants have doubts about these. In this post, we will discuss all the properties of right angled triangle that will help you solve geometric questions asked on them.

In our previous posts, we have discussed different types of triangles, properties of triangles and different centres of a triangle - Centroid, Circumcentre, Orthocentre and Incentre. Brush up on the basics before we begin.

### What is a Right-Angled Triangle

A right angled triangle is a triangle which contains one 90° angle.
In any triangle, the side opposite to the larger angle is the largest side of a triangle.

In right-triangled ABC,
AB is the side
BC is the base
AC is the hypotenuse

### Pythagoras Theorem

Pythagoras Theorem states that the square of the hypotenuse (the side opposite to the right angle) is equal to the sum of the squares of the other two sides.

In right-angled triangle ABC,

Properties of right angled triangle when a perpendicular is drawn on the hypotenuse.

When a perpendicular is drawn on the hypotenuse the triangle is divided into two parts, i.e., Triangle ADB and Triangle BDC.

Triangle ADB is similar to the Triangle BDC. Hence on the basis of similarity, corresponding angles are equal.

In similar triangles, corresponding sides are in proportion.

Hence, when we take,

We get,