Answer:
The equilateral triangle sail has the greatest area.
Step-by-step explanation:
The area of a triangle is defined by
[tex]A=\frac{1}{2} bh[/tex]
Where [tex]b[/tex] is the base and [tex]h[/tex] is the height of the triangle.
Notice that we have a scalene triangle, an isosceles triangle and an equilateral triangle.
Scalene triangle area.
[tex]A_{scalene} =\frac{1}{2} (10)(4.9)=24.5ft^{2}[/tex]
Isosceles triangle area.
[tex]A_{isosceles} =\frac{1}{2} (4)(9.8)=19.6 ft^{2}[/tex]
Equilateral triangle area.
[tex]A_{equilateral} =\frac{1}{2} (8)(6.9)=27.6ft^{2}[/tex]
Therefore, the equilateral triangle sail has the greatest area.
