Answer:
x = 85
Step-by-step explanation:
The Pythagorean theorem is a property that is specific to right triangles, or triangles with a right angle. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or side opposite the right angle.
Substitute in the given values and solve,
[tex]13^2 + 84^2 - x^2\\\\169 + 7056 = x^2\\\\7225 = x^2\\\\85 = x[/tex]
