The value of the side AB=x will be equal to 9 cm by using the pythagorean theorem.
What is pythagorean theorem?
Pythagorean theorem, is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Here in the question, we have a right angle triangle ABC whose sides are AB=x cm AC=[tex]\sqrt{117[/tex] and BC=6 cm.
So by using the pythagorean theorem:
[tex]AC^2=AB^2+BC^2[/tex]
[tex]\sqrt{117}^2=x^2+6^2[/tex]
[tex]117=x^2+36[/tex]
[tex]x=\sqrt{81}[/tex]
[tex]x=9\ cm[/tex]
Hence the value of side x=9 cm by using the Pythgorean theorem.
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