One Acute Angle of a right angled triangle is double the other. If the length of its hypotenuse is 10 cm, then its area is:

  1. 2 75 cm²
  2. 25 cm²
  3. 3 2 25 cm²
  4. None of these
satya20115 Default Asked on 19th December 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) None of these

    Solution:-
    In the right triangle –

    RE: One Acute Angle of a right angled triangle is double the other. If the length of its hypotenuse is 10 cm, then its area is:


    One acute angle of a right angled triangles is double the other.
    Then the angles are 30 degree and 60 degree.
    Sin 30 degree = AC/10
    1/2 = AC/10
    AC = 10/2
    AC = 5 cm

    And Cos 30 degree = AB/10
    sqrt.3/2 = AB /10
    AB = 10 sqrt.3/2
    AB = 5 sqrt.3

    Formula –
    The area of the triangle = base x height/2

    Then the area of the right angle triangle = 5 x 5 sqrt.3/2
    = 25sqrt.3/2 cm square.

    Hence, the correct answer is 25sqrt.3/2 cm square.

    Anurag Mishra Professor Answered on 19th December 2015.
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