The hypotenuse is the longest side of a right triangle. It lies opposite the right angle.
If we have some number, then a square root of is any number such that . In other words, multiplying by itself gives . We can denote the square root of a quantity by using a radical sign over : . By convention, denotes the positive square root of . For example, , and as well, but so . To indicate the negative square root, in this case, we must write .
Theth root of a number is some number that, when raised to the th power, equals : If , then is an th root of . For example, since , is a fourth root of . We can denote the th root of a quantity using a radical sign with a
We can use the distance formula to find the distance between any two points on the coordinate plane. If our points areand and we call the distance between them , then we can say that . The distance formula treats the straight line connecting these two points as the hypotenuse of a right triangle, and it uses the Pythagorean Theorem to find the length of this line.