## Algebra 1

Use the Pythagorean Theorem to determine whether the given lengths can be the sides of a right triangle. The sides of a right triangle will always satisfy the expression $a^2+b^2=c^2$. The hypotenuse, represented by c, will always the be longest side. The legs, a and b, will be the two shorter lengths. $a^2+b^2=c^2\longrightarrow$ substitute the given lengths $60^2+80^2\overset?=100^2\longrightarrow$ simplify exponents $3600+6400\overset?=10000\longrightarrow$ add $10000=10000\checkmark$