Show that tanh 2x = 2tanhx/ 1+tanh^2x​

Answers

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

ab^2+ac^2=bc^2

ab^2+ac^2=x^2                       )

triangle abd and cba are similar,

\frac{ab}{bc}=\frac{bd}{ab}

ab^2=bc\cdot bd

25=bc\cdot bd                             (2)

triangle cad and cba are similar,

\frac{ac}{bc}=\frac{cd}{ac}

ac^2=bc\cdot dc

7\times 7=bc\cdot dc

49=bc\cdot dc                       )

using (1), (2) and (3), we get

25+49=x^2

74=x^2

hence proved.

therefore option 2 is correct.

me! what did you put for this question?

step-by-step explanation:

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answer: okw

step-by-step explanation:



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