Respuesta :
ABC is a right-angled triangle, the value of x is 8.
What is the Pythagoras theorem?
The Pythagoras theorem is defined as;
[tex]\rm Hypotenuse ^2=Perpendicular^2+Base^2\\\\[/tex]
From the given figure, it is given that ABC is a right-angled triangle that is right-angled at B and AC=10, AB=x, and BC=6.
Now, since, ABC is a right-angled triangle, therefore we can apply the Pythagoras theorem to this triangle, therefore we have;
[tex]\rm Hypotenuse ^2=Perpendicular^2+Base^2\\\\ AC^2=AB^2+BC^2\\\\10^2=x^2+6^2\\\\100=x^2+36\\\\x^2=100-36\\\\x^2=64\\\\x^2=8^2\\\\x=8[/tex]
Hence, the value of x is 8.
Learn more about Pythagoras' theorem here;
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