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2 years ago

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

Mathematics

1 answer:

Alisiya [41]2 years ago

8 0

Answer:

Answer:

x = √70

Step-by-step explanation:

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

hypotenuse/long side = x/7 = (7+3)/x

Cross-multiplying gives ...

x^2 = 7(10)

x = √70

_____

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

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