Solution of Triangle Class 12 Mathematics Notes has been updated according to the latest syllabus of 2080. It means the notes of solution of triangles chapter provided in this article contains all the new exercise that has recently been updated. Now you don’t need to go anywhere searching for the notes of this chapter because we are here to serve you.

## Chapter – 7

__Solution Of Triangle__

A triangle has three sides and three angles. They are called the six elements of a triangle. To solve a triangle means to find the remaining elements when three other elements are known.

### Solutions of Triangles

Various relations connecting the sides and the trigonometrical ratios of the angles of a triangle have been established in chapter 4. With the help of those relations, it is possible to determine the magnitudes of three parts of the triangle when the other three parts out of the six elements of a triangle are given, except in one case in which each of the three given parts is an angle.

## Solution of Triangle Class 12 Mathematics Notes PDF

This PDF will provide the solutions of every question from class 12 solution of Triangle. This chapter has only one exercise like the previous chapter, properties of triangle. So, this is the only notes available for this chapter.

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In this case only the ratios of the sides can be determined, for there exist innumerable triangles with the same set of angles. Thus, to solve a triangle means to determine the unknown elements of a triangle from its known elements.

In solving a triangle, the following different cases arise.

- Three angles given
- Three sides given
- Two angles and one side given
- Two sides and the included angle given
- Two sides and an angle opposite to one of them given

Note: The right-angled and oblique triangles are also included in the above cases.

### Case I: Given Three Angles

No unique solution is possible in this case. The sine rule, a:b:csin A: sin B: sin C gives the ratio of the sides but not their actual lengths. Only the shape of the triangle is determined but not the size.

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