Maths-
General
Easy

Question

The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60°. If the third side is 3, the fourth side is

  1. 2    
  2. 3    
  3. 4    
  4. 5    

The correct answer is: 2



    table row cell c o s invisible function application B equals fraction numerator a to the power of 2 end exponent plus b to the power of 2 end exponent minus c to the power of 2 end exponent minus d to the power of 2 end exponent over denominator 2 left parenthesis a b plus c d right parenthesis end fraction end cell row cell rightwards double arrow fraction numerator 1 over denominator 2 end fraction equals fraction numerator 4 plus 25 minus c to the power of 2 end exponent minus 9 over denominator 2 left parenthesis 10 plus 3 c right parenthesis end fraction end cell row cell rightwards double arrow c to the power of 2 end exponent plus 3 c minus 10 equals 0 rightwards double arrow c equals 2 end cell end table

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