Side Angle Side Formula

About Side Angle Side Formula

The area of a triangle is calculated using trigonometry rules utilising the side angle side formula, often known as the SAS formula. The area of a triangle can be calculated using this formula, which is based on the side angle side theorem. The two sides and the angle between them are represented as side angle side, as the name implies. Let's learn more about how to compute the area of a triangle using the side angle side formula.Get the list of Maths Formulas. 

What is Side Angle Side Formula?

The SAS area formula is the side angle side formula, which implies we can find the area of a triangle if we know the length of two of its sides and its included angle. The SAS formula is as follows:

Area of a triangle = (1/2) × side1 × side2 × sin (included angle)

The Side Angle Side Theorem was used to develop the side angle side formula. Two triangles are considered to be congruent if their two sides and the angle between them are equal, according to the Side Angle Side theorem. The included angle is the angle formed by the two sides.

Derivation of Side Angle Side Formula

The area of a triangle is equal to ½ x base x height. So, using the procedures outlined below, let's look at the triangle below to see how the SAS formula is derived.

Side Angle Side Formula

Therefore, the side angle side formula or the area of the triangle using the SAS formula = 1/2 × a × b × sin c

Side Angle Side Formula

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Side Angle Side Formula
Side Angle Side Formula

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