Question

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question:Allison is painting sails for a model ship. Each sail is a triangle and has the same perimeter. Which sail has the greatest area?

Answer 1

the triangle on the bottom left has the greatest area

Step-by-step explanation

first one has an area of 24.5

second one has an area of 19.6

the third one has an area of 27.6 (greatest area)

19.6>24.5>27.6

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Answer 2

The equilateral triangle sail has the greatest area.

Explanation:

The area of a triangle is defined by

`A=(1)/(2) bh`

Where
`b` is the base and
`h` is the height of the triangle.

Notice that we have a scalene triangle, an isosceles triangle and an equilateral triangle.

Scalene triangle area.

`A_(scalene) =(1)/(2) (10)(4.9)=24.5ft^(2)`

Isosceles triangle area.

`A_(isosceles) =(1)/(2) (4)(9.8)=19.6 ft^(2)`

Equilateral triangle area.

`A_(equilateral) =(1)/(2) (8)(6.9)=27.6ft^(2)`

Therefore, the equilateral triangle sail has the greatest area.