Find the length of one side of the triangle?
The area of an equilateral is #8sqrt3# square units
The area of an equilateral is
1 Answer
Jun 22, 2018
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#