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प्रश्न
The area of an equilateral triangle is numerically equal to its perimeter. Find the length of its sides, correct two decimal places.
उत्तर
Let each side of an equilateral triangle measures a cm.
Then, we have
`sqrt(3)/(4) xx "a"^2` = a + a + a
⇒ `sqrt(3)/(4) xx "a"^2` = 3a
⇒ `"a"^2/"a" = (4)/sqrt(3) xx 3`
⇒ a = `4sqrt(3)`
⇒ a = 4 x 1.732
⇒ a = 6.928
⇒ a = 6.93 units.
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