Question

diagonal of rectangle is 6 CM this diagonal make an angle 30 degree with the one side of the rectangle a. find the length and breadth of the rectangle b. what is the area of the rectangle​

Answer 1

$= > \sin( 30 ) = \frac{a}{6}$

$= > \frac{1}{2} = \frac{a}{6}$

$= > a = 3$

$= > \cos(30) = \frac{b}{6}$

$= > \frac{ \sqrt{3} }{2} = \frac{b}{6}$

$= > b = 3 \sqrt{3}$

Area,

$= > area = a \times b$

$= > area = 3 \times 3 \sqrt{3} = 9 \sqrt{3}$

Hope this answer helps you ^_^ !