An equilateral triangle 2

If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.

Correct answer:

a =  6 m

Step-by-step explanation:

b=2+a S2 = 73 + S1 S1 = 43 a2 S2 = 43 b2  43 (2+a)2 =  73 + 43 a2  (2+a)2=7 4+a2  4a=24  a=424=6=6 m  a=6   Verifying Solution:  b=2+a=2+6=8 m S1=43 a2=43 62=9 3 m215.5885 m2 S2=43 b2=43 82=16 3 m227.7128 m2 ΔS=S2S1=27.712815.5885=7 3 m212.1244 m2



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