if a square and triangle have same perimeter which has greatest area
Answers
Answer:
square
Step-by-step explanation:
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SQUARE
Step-by-step explanation:
Let the side of the triangle be 12 cm
perimeter of the triangle=perimeter of the square
3s=4a
3(12)=4a
36=4a
therefore a=36/4=9cm
the triangle we have to find be an equilateral triangle
according to my theory the sides and angles are equal in measure in the equilateral triangle then it's altitude be equal
triangle:
b=12cm
h=12cm
area of the triangle=1/2bh
=1/2×12×12
=1×6×12
=72 cm²
square:
a=9 cm
area of the square=a²
=9²
=9×9=81 cm²
72 cm² is < than 81 cm²
therefore, square had the greater area
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