Answer: 8
Step-by-step explanation:
The triangle shown in the image attached is a right triangle.
Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:
[tex]a^2=b^2+c^2[/tex]
Where a is the hypotenuse and b and c are the legs.
The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from [tex]a^2=b^2+c^2[/tex], as following:
[tex]17^2=15^2+c^2\\c=\sqrt{17^2-15^2}\\c=8[/tex]
Therefore, the lenght of the missing side is: 8
