# Length of remaining two sides of a Triangle from a given side and its adjacent angles

Given the length of a side a of a triangle and its adjacent angles B and C, the task is to find the remaininig two sides of triangle.

Input: a = 5, B = 62.2, C = 33.5
Output: 4.44, 2.77
Explaination
The remaining two sides of the triangle are b = 4.44488228556699 and c = 2.7733977979419038

Input: a = 12, B = 60, C = 30
Output: 10.39, 5.99
Explaination
The remaining two sides of the triangle are b = 10.392304845413264 and c = 5.999999999999999

Approach:

1. The remaining angle can be calculated by the angle sum theoram in a triangle:
2. 3. The other two sides of triangle can be computed using sine formula:
4. Below is the implementation of the above approch:

## Python3

 `# Python 3 program for above approach ` ` `  `import` `math ` ` `  `# Function for computing other ` `# 2 side of the trianlgle ` `def` `findSide(a, B, C): ` ` `  `    ``# computing angle C ` `    ``A ``=` `180``-``C``-``B ` ` `  `    ``# converting A in to radian ` `    ``radA ``=` `math.pi ``*``(A ``/` `180``) ` ` `  `    ``# converting B in to radian ` `    ``radB ``=` `math.pi ``*``(B ``/` `180``) ` ` `  `    ``# converting C in to radian ` `    ``radC ``=` `math.pi ``*``(C ``/` `180``) ` ` `  `    ``# computing length of side b ` `    ``b ``=` `a ``/` `math.sin(radA)``*``math.sin(radB) ` ` `  `    ``# computing length of side c ` `    ``c ``=` `a ``/` `math.sin(radA)``*``math.sin(radC) ` ` `  `    ``return` `b, c ` ` `  `# driver program ` `a ``=` `12` `B ``=` `60` `C ``=` `30` ` `  `# calling function ` `b, c ``=` `findSide(a, B, C) ` `print``(b, c) `

Output:

```10.392304845413264 5.999999999999999
```

Time Complexity: O(1)
Auxillary Space: O(1)

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