Question
Download Solution PDFIn triangle ABC, \(\angle B\) = 900 , and \(\angle C\) = 450 , If AC = \(2\sqrt 2 \) cm, then the length of BC is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In triangle ABC,
\(∠ B\) = 900
\(\angle C\) = 450
AC = \(2\sqrt 2 \) cmConcept used:
In a right-angle triangle,
cos θ = \(base \over hypotenuse\) = \(BC \over AC\)
Calculation:
cos 450 = \(BC \over 2√2\)
\(1 \over \sqrt 2\) = \(BC \over 2√2\)
BC = \(2 \times √2 \over√2\) = 2 cm
∴ The length of BC is 2 cm.
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