Find the length of one side of the triangle?

The area of an equilateral is #8sqrt3# square units

1 Answer
Jun 22, 2018

#4sqrt2#

Explanation:

#"the area (A) of an equilateral triangle is"#

#•color(white)(x)A=(s^2sqrt3)/4#

#"where s is a side of the triangle"#

#"given "A=8sqrt3" then"#

#(s^2sqrt3)/4=8sqrt3#

#"multiply both sides by 4 and divide by "sqrt3#

#s^2sqrt3=32sqrt3#

#s^2=(32cancel(sqrt3))/cancel(sqrt3)=32#

#color(blue)"take the square root of both sides"#

#s=sqrt32=sqrt16xxsqrt2=4sqrt2#