Question

find the missing side
78
b 30 c
b
83.6
48
72
108

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(c = 78\), \(a = 30\), and we need to find \(b\).

Step2: Substitute values

$$30^{2}+b^{2}=78^{2}$$
$$900 + b^{2}=6084$$

Step3: Solve for \(b^{2}\)

$$b^{2}=6084 - 900$$
$$b^{2}=5184$$

Step4: Find \(b\)

$$b=\sqrt{5184}$$
$$b = 72$$

Answer:

72