Q. 35.0( 1 Vote )

Calculate the perimeter of the triangle shown below.


Answer :


We know that sum of angles of a triangle is 180°.


A + B + C = 180°


30° + 105° + C = 180°


C = 180° - 135°


C = 45°


We know that the sine rule is = =.


In the triangle above, we have


c = 2 m;


a, b =?


Consider






a = √2 ≈ 1.41 m


Now consider = ,


b






= √3 + 1


b = √3 + 1 ≈ 1.73 + 1 = 2.73 m


We know that perimeter of a polygon is the sum of all its sides.


Perimeter = a + b + c


= 1.41 + 2.73 + 2


= 6.14 m


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