Question

in a triangle , the angles are 30°60° 90°, if the length of the shrtest side is 6 cm find the area of the triangle ?

Answer 1

the shortest side will be opposite to 30.
therefore using
tan 30= 6/base
$base = \frac{6}{ \sqrt{3} } \\ base = 2 \sqrt{3}$
then area =1/2 base×height
=1/2 6×2 sq root 3
$= 6 \sqrt{3}$
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