Answer:
x=10
Step-by-step explanation:
Hello
the graph shows a right triangle, with the unknown hypotenuse, we can apply the Pythagorean theorem to find it,Pythagoras' theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs
T.P
[tex]a^{2} +b^{2} =c^{2}[/tex]
where c is the hypotenuse
step 1
replacing the data
[tex]a^{2} +b^{2} =c^{2}\\6^{2} +8^{2} =x^{2}\\36+64=x^{2}\\x=\sqrt{100} \\x=10\\[/tex]
x=10
only the positive root because it is a distance
Have a great day
