Triangle DEF is an equilateral triangle with a side length of 12 cm. If point G is the midpoint of side DE, what is the length (in cm) of side FG?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. .Font
As seen in the figure
DEF is an equilateral triangle with 12 cm
G is the midpoint of side DE
Formula used
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
△FEG is a right-angled triangle with ∠FGE = 90
Hence, EF2 = FG2 + GE2
(12)2 = FG2 + (6)2
144 - 36 = FG2
FG = √108
Hence FG = cm.