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Examveda

In the following figure which of the following statements is true?
triangles mcq question

A. AB = BD

B. AC = CD

C. BC + CD

D. AD < Cd

Answer: Option B

Solution(By Examveda Team)

In Triangle ABD,
∠BAD + ∠B + 90° = 180°
or, ∠BAD + ∠B = 90° - - - - - - - (1)

Now, in Triangle ABC,
∠ACB + ∠B + ∠A = 180°
∠ACB + ∠B = 180° - 90°
∠ACB = 90° - ∠B - - - - - (2)
From (1) and (2), ∠BAD = ∠ACB
So, AC = CD

This Question Belongs to Arithmetic Ability >> Triangles

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Comments ( 10 )

  1. Mr. M.
    Mr. M. :
    2 years ago

    In equation 1 --- angle BAD + angle B = 90
    cannot be true unless angle BAD = 0
    since angle B itself is 90

  2. Mehedi Hasan
    Mehedi Hasan :
    2 years ago

    Can't agree..

  3. Topazing Sohkhia
    Topazing Sohkhia :
    4 years ago

    can't agree

  4. Krishna Gurjar
    Krishna Gurjar :
    5 years ago

    i agreed it well explaination

  5. Nandini Gupta
    Nandini Gupta :
    7 years ago

    In the figure angle B is 90° then how can u say that BAD+B+90=180

  6. Pradeep Kumar
    Pradeep Kumar :
    7 years ago

    good solution explained by Sannyasi. but the explanation provided by examveda is complete crap..

  7. Sannyasi Biiswal
    Sannyasi Biiswal :
    7 years ago

    In Triangle ABD,
    ∠B=90,∠A=30+30=60degre
    then ∠D=30degre
    now Consider Triangle ACD
    ∠D=30,∠DAC=30
    These two side is Opposite of two equal angle So, AC = CD.

  8. Pranshu Kumar
    Pranshu Kumar :
    7 years ago

    Not agree could u explain further

  9. ShAhJaHaN PRo
    ShAhJaHaN PRo :
    8 years ago

    I don't understand. Can explain more clearly please? Thank you

  10. Jason
    Jason :
    8 years ago

    i dont agree

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