A wire is bent into a right-angled triangle with sides in the ratio 3:4:5. The same wire is bent into an equilateral triangle. What is the ratio of their areas?
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Answer:
3:2
Step-by-step explanation:
let sides be 3x , 4x and 5x.
perimeter is sum of all sides = 3x + 4x + 5x= 12x
equilateral triangle has all sides equal = 9x/3
so one side is 3x
now.
area of triangle = 1/2 base × height
so 6x^2
area of equilateral triangle = _/3 /4 × side
so aprox value is 4x^2
now ratio 6x^2/4x^2
answer 3 : 2
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