Find the area of the largest isosceles triangle having a perimeter of 18 inches
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Note that all equilateral triangles are isosceles triangles
Find the length that will give the largest possible area:
Length = Perimeter ÷ 3
Length = 18 ÷ 3
Length = 6 inches
Find the area:
Perimeter = 18 inches
Semiperimeter = 18 ÷ 2 = 9 inches
Area = √P(P - A)(P - B)(P- C)
Area = √9(9 - 6)³
Area = √243
Area = 15.6 in²
Answer: The largest area is 15.6 in²
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Answer:
Find the length that will give the largest possible area:
Length = Perimeter ÷ 3
Length = 18 ÷ 3
Length = 6 inches
Find the area:
Perimeter = 18 inches
Semiperimeter = 18 ÷ 2 = 9 inches
Area = √P(P - A)(P - B)(P- C)
Area = √9(9 - 6)³
Area = √243
Area = 15.6 in²
Answer: The largest area is 15.6 in²
Step-by-step explanation:
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