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What is the length of side s of the square shown below?
45°
00
90°
S
о
O A. 45
B. 82
O
C. 2
O
D. V8
O
E. 4
F. 1


What Is The Length Of Side S Of The Square Shown Below 45 00 90 S О O A 45 B 82 O C 2 O D V8 O E 4 F 1 class=

Sagot :

Answer:

[tex]A.\: 4 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{s}{8} \\ \\ \implies \: \frac{1}{ \sqrt{2} } = \frac{s}{8} \\ \\ \implies \: s = \frac{8}{ \sqrt{2} } = \frac{8 \sqrt{2}}{2} \\ \\ \implies \: \huge \: s = 4 \sqrt{2} [/tex]