In each part, a and b represent the length of a leg of a right triangle, and c represents the length of its hypotenuse. Find the missing length, given the other two lengths.

c=13 and a=20

Step-by-step explanation:

Here you need to use the Pythagoras theorem :

c²=a² + b²

c = √a² + b²

c = √(12)²+(5)²

c= √144+25

c = √169

c = 13

2) c²=a²+b²

    b= √c²-b²

    b= √(29)²-(21)²

    b = √400

    b = 20

In 2 you change your formula just so that it can be easier and just calculate your length straight forward but you can also just do it in the original equation

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

step-by-step explanation: