The square of the longest side is equal to the sum of the square of the other two sides is known as the pythagoras theorem.
The value of x according to the given right-angled triangle is 9
In order to get the value of x from the given diagram, we will use the pythagoras theorem as shown:
According to the theorem [tex]a^2=b^2+c^2[/tex]
a is the longest side
Substituting the given sides into the formula we will have:
[tex](x+6)^2=12^2 + x^2\\x^2+12x+36 = 144 + x^2\\12x + 36 = 144\\12x = 144 - 36\\12x = 108\\x =\frac{108}{12}\\x= 9[/tex]
Hence the value of x according to the given right-angled triangle is 9
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