Question

Find the value of x. 7 Х 3 Z X =√[?] Pls help explain !!

Answer 1

Answer:

Answer:

 x = √70

Step-by-step explanation:

The triangles shown are all similar, so corresponding sides are proportional.

 hypotenuse/long side = x/7 = (7+3)/x

Cross-multiplying gives ...

 x^2 = 7(10)

 x = √70

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You will note that the value of x (the long side) is the geometric mean of the long segment and the whole hypotenuse.

A similar "geometric mean" relation holds for the short side:

 BC = √(CD·CA)

There is yet another "geometric mean" relation that holds for the altitude:

 BD = √(CD·AD)

Step-by-step explanation:

hope this helps