The value of x from the figure shown is 2.19
Pythagoras theorem
According to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.
From the given diagram, the expression below is true;
6^2 = 3^2 + (3+x)^2
Determine the value of x
36 = 9 + (9+6x + x^2)
36 = 18 +6x+x^2
x^2 + 6x - 18 = 0
On factorizing, the value of x is expressed as;
x = -3 + 3√3
x = -3 + 3(1.732)
x = 2.19
Hence the value of x from the figure shown is 2.19
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