Sure, let's refresh some important mathematical concepts involving the Pythagorean theorem.
1. [tex]\( a^2 + b^2 = c^2 \)[/tex] is the Pythagorean theorem.
2. You use it when you have a right triangle.
3. [tex]\( c \)[/tex] always represents the hypotenuse (the side opposite the right angle).
4. [tex]\( a \)[/tex] and [tex]\( b \)[/tex] always represent the legs of the triangle (the two sides that form the right angle).
So the completed sentences would be:
1. [tex]\( a^2 + b^2 = c^2 \)[/tex] is the Pythagorean theorem.
2. You use it when you have a right triangle.
3. [tex]\( c \)[/tex] always represents the hypotenuse.
4. [tex]\( a \)[/tex] and [tex]\( b \)[/tex] always represent the legs.
