Question

In the given figure AB =2 , BC =4, CD =1,. Find AD ?​

Answer 1

Answer:

AD=5cm

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Join AD, Let it cuts BC at point P. Also, let BP=x, then PC=4-x

Triangles ABP and DCP will be similar.

Therefore, BP/PC=AB/CD=2/1=1

or, x/(4-x)=2

or, x=8/3, So, BP=8/3 cm and PC=4/3 cm

Using Pythagoras Theorem in triangles, ABP and CDP,

AD=AP+PD=√[(2)²+(8/3)²] + √[(1)²+(4/3)²]

Or AD=√(100/9) + √(25/9) = 10/3 + 5/3 = 15/3 = 5

Therefore, AD=5 cm