Question

From given figure, In ∆ ABC, If ABC = 90 CAB=30, AC = 14 then for finding value of AB and BC, complete the following activity.​

Answer 1

Answer:

bc=7 and ab=7√3

Step-by-step explanation:

Refer the attachment for the diagram.

it's a right angled triangle (from given)

let us use trigonometry taking angle CAB

$\sin(30) = \frac{1}{2} = \frac{bc}{ac}$

$\frac{1}{2} = \frac{bc}{14}$

$bc = 7$

now, using cos 30

$\cos(30) = \frac{\sqrt{3} }{2} = \frac{ab}{14}$

$ab = 7 \sqrt{3}$

so we have successfully found value of bc=7 and ab=7√3

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