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Find the value of x.
AS
7
х
D
3
B
'c
X=
V[?]
Enter


Find The Value Of X AS 7 Х D 3 B C X V Enter class=

Sagot :

9514 1404 393

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

_____

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)

You may see these again.