In the following figure which of the following statements is true...

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In the following figure which of the following statements is true?

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 )

Mr. M. :

1 year ago

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

1 year ago

Can't agree..
Topazing Sohkhia :

4 years ago

can't agree
Krishna Gurjar :

5 years ago

i agreed it well explaination
Nandini Gupta :

6 years ago

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

7 years ago

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

7 years ago

Not agree could u explain further
ShAhJaHaN PRo :

7 years ago

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

8 years ago

i dont agree