Find the value of x. 7
x
3
Z
X =
V[?]
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X=√70

Explanation:

explanation is in the image above

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Step-by-step explanation:

I attached a graphic analysis that should be easier to follow.

Set up equations for the three right triangles:

x^2 + z^2 = 10^2

3^2 + y^2 = z^2

y^2 + 7^2 = x^2

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Rearrange so that we have values for x^2, y^2, and z^2:

y^2 = x^2 - 49

y^2 = z^2 - 9

x^2 - 49 = z^2 - 9

z^2 = x^2 - 40

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Now find a substitution that allows us to produce one equation with only one unknown.  

Satrt with this one:  x^2 + z^2 = 10^2

Then use the expression for z^2 from above (x^2 - 40):

x^2 + (x^2 - 40) = 10^2

2x^2 = 140

x^2 = 70

x =   (70)^(1/2)

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step-by-step explanation:

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