Answer:
n = 15
Step-by-step explanation:
Since this triangle is a right triangles (we know that from the little square in the corner, which denotes 90 degrees), we can use the Pythagorean Theorem.
The Pythagorean Theorem states that for a right triangle with legs a and b (these are the shorter two sides) and a hypotenuse c (the longest side), then the following holds true: [tex]a^2+b^2=c^2[/tex].
Here, we can say that a = 8, b = n, and c = 17. So, plug these values in:
[tex]8^2+n^2=17^2[/tex]
64 + [tex]n^2[/tex] = 289
[tex]n^2[/tex] = 289 - 64 = 225
n = [tex]\sqrt{225} =15[/tex]
Thus, n = 15.
Hope this helps!
