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Home Questions & Answers Aptitude Arithmetic Aptitude Question Answers The ratio between the base and height of a right angled triangle is 4:5 respectively. If the area of the right angled triangle is 80 sq cm, what is the height of the triangle? 

    The ratio between the base and height of a right angled triangle is 4:5 respectively. If the area of the right angled triangle is 80 sq cm, what is the height of the triangle? 

  • 16√2cm
  • 10cm
  • 8cm
  • 20cm
  • 10√2cm
  • Explanation:

    Let the base and height of a right angled triangle be 4x and 5x respectively.

    By formula,

    Area of right angled triangle = ½×Base ×Height

                                           80=½ ×4x × 5x

                                            x2 = 8

                                             x = 2√2cm

                                  ∴ Height = 5x = 5× 2√2cm

                                                        = 10√2cm

     


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