 # Complete statement WZ=? and RS=? in the figure shown. Emily-Jane Bray 2021-08-11 Answered
To Complete: the statement WZ=? and RS=? in the figure shown.
Given:
Figure is shown below. RW=15, ZR=10 and ZS=8
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Calculation:
In .
$\mathrm{\angle }WRZ\stackrel{\sim }{=}\mathrm{\angle }WZS\therefore$ (Given)
$\mathrm{\angle }W\stackrel{\sim }{=}\mathrm{\angle }W\therefore$ (Common)
$WZ\stackrel{\sim }{=}WZ\therefore$ (Common)
By AAS similarity, $\mathrm{△}RWZ\sim \mathrm{△}ZWS$.
Therefore,
$\frac{RW}{ZW}=\frac{ZR}{SZ}=\frac{WZ}{WS}$
$\frac{15}{ZW}=\frac{10}{8}$
$ZW=\frac{15×8}{10}$
ZW=12
$\frac{ZR}{SZ}=\frac{WZ}{WS}$
$\frac{10}{8}=\frac{12}{WS}$
$WS=\frac{12×8}{10}$
WS=9.6
And
RS=RW-SW
RS=15-9.6
RS=5.4
Therefore, the answer is 12 and 5.4.

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