Answer:
30
Step-by-step explanation:
\text{Legs: 18, 24}\hspace{20px}\text{Hypotenuse: ?}
Legs: 18, 24Hypotenuse: ?
a^{2}+b^{2}=
a
2
+b
2
=
\,\,c^{2}
c
2
The Pythagorean Theorem
18^{2}+24^{2}=
18
2
+24
2
=
\,\,c^{2}
c
2
Plug in. c is the hypotenuse.
324+576=
324+576=
\,\,c^{2}
c
2
Square the numbers.
900=
900=
\,\,c^{2}
c
2
Add.
\sqrt{900}=
900
=
\,\,\sqrt{c^{2}}
c
2
Square root both sides.
30=
30=
\,\,c
c
The hypotenuse.
