# How to find the missing sides of a right-angled triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle.

## Answer: For calculating any of the missing sides of the triangle, we make use of the Pythagoras theorem and find the missing side.

**Explanation:**

A right-angled triangle is the one with one of the angles always equal to 90 degrees. A right-angled triangle has a specified name for all its sides, due to the abundance of its application in various practical fields, especially the ones involving trigonometric solutions. The names of the sides are, 'Hypotenuse' or the side opposite to the vertex of the 90-degree angle, 'Perpendicular' and 'Base' of the triangle.

A-right angle triangle has a very special theorem applied upon it, named after the mathematician who devised it, known as the Pythagoras theorem. It states:

In a right-angled triangle with H (hypotenuse), B (Base), P (Perpendicular) as its three given sides. Relation between the three sides can be given as:

" H^{2} = P^{2} + B^{2} "

For example, if Basse is 3 cm and Perpendicular is 4 cm we can find the hypotenuse using the theorem.

Hypoteneuse ^{2} = Perpendicular^{2} + Base^{2}

=3^{2} +4^{2}

= 9 + 16

= 25

⇒H = 5 cm.

### Thus, for calculating any of the missing sides of the triangle, we make use of the Pythagoras theorem and find the missing side.

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