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In the figure below, find the exact value of z. (do not approximate answer.)

In The Figure Below Find The Exact Value Of Z Do Not Approximate Answer class=

Sagot :

Answer:

z = [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Small triangle:

short leg = 2

long leg = z

Large triangle

short leg = z

long leg = 5

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The triangles are similar therefor

Sshort / Lshort = Slong / Llong

2/z = z/5

multiply both sides by z

2 = [tex]z^{2}[/tex]/5

multiply both sides by 5

10 = [tex]z^{2}[/tex]

Take the square root of both sides

z = [tex]\sqrt{10}[/tex]

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