An equilateral triangle has an area of 64sqrt3 cm^2 . If each side of the triangle is decreased by 2 cm, by how many square centimeters is the area decreased?
+128475 Area of equilateral triangle =
(1/2) ( side)^2 sqrt (3) / 2 = 64 sqrt (3) multiply both sides by 4 and divide by dqrt (3)
side^2 = 256
16 cm = side
Area when side is decreased by 2 cm
(1/2) ( 14)^2 sqrt (3)/2 =
196 sqrt ( 3)/ 4 =
49 sqrt (3)
Area is decreased by (64 - 49) sqrt (3) = 15 sqrt 3) cm^2
