Question
(please explain with brief explanation)
The sides of an equilateral triangle are shortened by 12 units,13 units and 14 units respectively and a right angled triangle is formed.Find the side of the equilateral triangle.
The sides of an equilateral triangle are shortened by 12 units,13 units and 14 units respectively and a right angled triangle is formed.Find the side of the equilateral triangle.
Answers
The side shortened least is longest, so
(x-14)^2 + (x-13)^2 = (x-12)^2
Now, we all know that the 3-4-5 triangle is the only one with sides which are consecutive integers. So, x-14=3, making x=17.
Solving the equation gives the same result.
(x-14)^2 + (x-13)^2 = (x-12)^2
Now, we all know that the 3-4-5 triangle is the only one with sides which are consecutive integers. So, x-14=3, making x=17.
Solving the equation gives the same result.
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