Complete statement WZ=? and RS=? in the figure shown.

Emily-Jane Bray

Emily-Jane Bray

Answered question

2021-08-11

To Complete: the statement WZ=? and RS=? in the figure shown.
Given:
Figure is shown below.

RW=15, ZR=10 and ZS=8

Answer & Explanation

SabadisO

SabadisO

Skilled2021-08-12Added 108 answers

Calculation:
In RWZ and ZWS.
WRZ=WZS (Given)
W=W (Common)
WZ=WZ (Common)
By AAS similarity, RWZZWS.
Therefore,
RWZW=ZRSZ=WZWS
15ZW=108
ZW=15×810
ZW=12
ZRSZ=WZWS
108=12WS
WS=12×810
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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