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in Mathematics by (15 points)
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The sides of a triangle are x , x+1 , 2x-1 and its area is x√10 what is the value of x.

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1 Answer

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The area of a triangle whose side lengths are a, b, and c is given by

According to conditions: 

a = x 

b = x+1 

с = 2x-1

Calculate the semi perimeter:

Now we can compose and solve the equation according to Heron's formula:

As a result, x = 6.

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