Question

find the missing side
83.6
108
48
72

Explanation:

Step1: Identify known values

Right triangle: hypotenuse $c=78$, leg $a=30$, missing leg $b$.

Step2: Apply Pythagorean theorem

$$b = \sqrt{c^2 - a^2}$$

Step3: Substitute values and calculate

$$b = \sqrt{78^2 - 30^2} = \sqrt{6084 - 900} = \sqrt{5184}$$

Step4: Compute square root

$$\sqrt{5184} = 72$$

Answer:

72