# Side Angle Side Formula

## Side Angle Side Formula

The Side Angle Side Formula is a very important mathematical concept. Students who have mathematics in their curriculum have to eventually learn about the Side Angle Side Formula. Students face issues later on when they do not understand the Side Angle Side Formula in a formidable way. Therefore, students ought to take this chapter seriously.

Any student in their higher secondary who has chosen science as their primary field of study has Mathematics as one of their core subjects. In all areas of other courses, including physics and chemistry, the ideas that students learn throughout their two years of higher secondary education are echoed. Students are urged to pursue mathematics seriously because it is regarded as one of the disciplines that requires a lot of attention. Every student must take mathematics very seriously because their final grade is determined by the average of all of their grades in the disciplines they have taken. Therefore, students must study Side Angle Side Formula very diligently.

## What is Side Angle Side Formula?

Extramarks have provided resources on Side Angle Side Formula so that students study it very calmly. Students often face issues in the Side Angle Side Formula and therefore these resources help students greatly.

The sine trigonometric function is used to determine the area of the triangle using the Side Angle Side Formula when the triangle’s two sides and one angle are already known. When the two sides and the angle between them are given, students refer to this formula as “SAS.”

Calculating the triangle’s necessary angles consists of three key steps:

Step 1: Using the Law of Cosine, students first identify the unknown side.

Step 2: Applying the Law of Sines, students may determine which of the two angles is smaller.

Step 3. Next, determine the third angle by multiplying the three angles by 180 degrees.

The topic is highly regarded by many students, and it is ideal for those attempting to get ready for all of India’s competitive exams, including JEE Advanced, JEE Mains, and NEET. The objective question format used by different school boards perfectly matches the multiple-choice questions that are frequently included in competitive exams. As a result, while learning and getting ready for exams, students are also subtly getting ready for competitive exams. A substantial change is a move to a higher level.

### Derivation of Side Angle Side Formula

Derivation of the Side Angle Side Formula is an important derivation. At an advanced level students must know the derivation of every formula they use. Derivations of the Side Angle Side Formula help students often to solve more challenging questions because knowing the derivations of the Side Angle Side Formula makes sure that all the concepts are cleared.

Utilizing the principles of trigonometry, the Side Angle Side Formula, commonly referred to as the SAS formula, is used to determine the triangle’s surface area. Students may get the area of a triangle using this formula, which is based on the side angle side theorem. The Side Angle Side Formula, as its name suggests, is a representation of two sides and the angle that separates them. Students must learn more about how to compute a triangle’s area using the 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 is an important topic and Extramarks has a plethora of reliable resources on it. This information is provided by highly qualified teachers who have years of relevant experience.

The Side Angle Side Formula, also known as the SAS area formula, allows students to determine a triangle’s area given the length of two of its sides and the angle it includes. The SAS formula is written as follows:

Triangle area equals (1/2) side1 side2 sin (included angle)

The Side Angle Side Theorem served as the foundation for the Side Angle Side Formula. The Side Angle Side Theorem states that two triangles are said to be congruent if both of their sides and the angle between them are equal. The included angle is the angle formed by the two sides.

Step 1: If “a” and “b” are the two provided sides and “c” is the angle between them.

Step 2: If students must draw a perpendicular ‘p’ from side X to side YZ, students may write the value of p as p = a sin c by taking p as the height and using the trigonometric ratio formula Sin c = p/a.

Step 3:As students already know, a triangle’s area is equal to half of its base plus its height. The area of the triangle will be equal to 1/2 b p when the values of base and height are substituted.

Step 4: Because p = a sin c, the formula for the triangle’s area is 1/2 b a sin c.

## Examples Using Side Angle Side Formula

Students have been known to take a long time to acclimate to the Side Angle Side Formula because they can actually feel the change in the level of difficulty. Students from a different board who go up to a higher level frequently struggle harder. Not only do these students adapt to an advanced-level course, but they also adapt to the particular question format it uses. Students must think and prepare differently for these tests because the pattern of questions they must encounter is considerably different from what is typically taught in a standard classroom setting. Different strategies that students might use to solve these challenges have been offered by Extramarks teachers, and they can be accessed on their website.