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 s
ide of the triangle.
2 answers:
Answer:
5.5 m
Step-by-step explanation:
- <em>note: it is assumed that the area </em><em><u>increased </u></em><em>by 3√3 sq. meter when length of each side increases by 1 meter</em>
The area of equilateral triangle formula:
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:
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
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