Maths-
General
Easy

Question


In the right triangle above, x = 60. What is the length of side AB?

  1. 7
  2. 8
  3. 9
  4. It cannot be determined from the information given.

The correct answer is: 8


    Hint:
    Triangle with one angle of 90॰ is called right angle triangle.
    Side opposite to 90॰ is called Hypotenus.
    In right angled triangle,
    Sin theta equals fraction numerator text  Perpendicular  end text over denominator text  Hypotenus  end text end fraction
    Cos theta equals fraction numerator text  Base  end text over denominator text  Hypotenus  end text end fraction
    Tan equals fraction numerator text  Perpendicular  end text over denominator text  Base  end text end fraction
    Step by step explanation:
    Given:
    In △ABC,
    ∠B= 60॰
    Side BC = 4 units
    Step 1:
    We know that, in right angle triangle
    Cos invisible function application theta equals fraction numerator text  Base  end text over denominator text  Hypotenus  end text end fraction
    So, according to given information,
    Cos invisible function application B equals fraction numerator B C over denominator A B end fraction
    not stretchy rightwards double arrow Cos space 600 equals BC over AB
    Step 2:
    Put value of cos 601 half
    not stretchy rightwards double arrow 1 half equals fraction numerator 4 over denominator A B end fraction
    Step 3:
    Now, cross multiply each other
    ⇒ AB = 8
    ⇒ AB = 8 units.
    Hence, the length of side AB is 8 units.

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