Multiple Choice Questions on The hypotenuse of a right angled triangle 10 cm and its area is 24 cm2 If the shorts side is halveda........... for CDS Exam Preparation

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Multiple Choice Questions

The hypotenuse of a right angled triangle 10 cm and its area is 24 cm2 If the shorts side is halveda...........

Quantitative Aptitude (CDS) Mensuration 2D
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    The hypotenuse of a right-angled triangle 10 cm and its area is 24 cm2. If the shorts side is halvedand the longer side is double, the new hypotenuse becomes

    \sqrt{245}

    Incorrect Answer

    \sqrt{255}

    Incorrect Answer

    \sqrt{265}

    Correct Answer

    \sqrt{275}

    Incorrect Answer
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    Explanation:

    Hypotenuse = 10cm

    Let the other 2 perpendicular sides be a and b Area ½ a*b = 24 So a*b = 48 cm2

    Also using Pythagoras a2 + b2 = 100 (a+b)2 = a2 + b2 + 2ab = 100 + 96 = 196

    a+b = 14 Similarly a-b = 2

    So a=8 and b=6

    Now smaller side is halved and larger side is doubled So a1 = 16 and b1 = 3

    New hypotenuse = √(162+32) = √265

    By: Munesh Kumari
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