Emiko Emiko
  • 08-05-2024
  • Mathematics
College

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

Answer :

Hrishii Hrishii
  • 20-12-2024

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]

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