Smallest side of a right-angled triangle is 13 cm less than the side of a square of perimeter 72 cm. Second largest side of the right-angled triangle is 2 cm less than the length of the rectangle of area 112 cm² and breadth 8 cm. What is the largest side of the right-angled triangle?
A)20 cm B)12 cm C)10 cm D)13 cm

• side of square= perimeter/4;
  = 72/4=18
  smallest side= 18-13= 5
  
  length*breadth= area of rectangle
  
  so length= 112/8 = 14
  
  second largest side= 14-2 = 12
  
  Hypotenuse of the right angled triangle = 12+5−−−−−−√
  
  = 144+25−−−−−−√=169−−−√ = 13 cm
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