Question

the area of an equilateral triangle by 3√3 sq. meter when the length of each side increases by 1 meter. find the length of the side of the triangle.​

Answer 1

Answer:

5.5 m

Step-by-step explanation:

• note: it is assumed that the area increased by 3√3 sq. meter when length of each side increases by 1 meter

The area of equilateral triangle formula:

• A=√3/4a²

increased area:

√3/4(a+1)²= A + 3√3

• √3/4a²+3√3= √3/4(a+1)²      =========   (× 4/√3 each side)
• a²+12=a²+2a+1
• 2a=12-1
• a=11/2 m
• a=5.5 m

Answer 2

Answer:

l = ( 2√3 + 1 ) m

Step-by-step explanation:

A = l²√3/4

3√3 = l²√3/4

12√3 = l²√3

l² = √12

l² = √2²·3

l = 2√3 m

when the length of each side increases by 1 meter

l = ( 2√3 + 1 ) m