Answer:
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the legs, and "c" is the hypotenuse.
It is given that;
b = 15.
c = 17
a = x
[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]
[tex]x^2[/tex] + 225 = 289
[tex]x^2[/tex] = 64
x = 8
To find the area of a square, one has to raise one of the sides to the power of two.
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
