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5) 4\\sqrt{320} find the missing side of each triangle. 6) 8 10 x

Question

  1. 4\sqrt{320}

find the missing side of each triangle.
6)
8
10
x

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 8\), \(c = 10\), and \(b=x\).

Step2: Substitute values into the formula

$$8^{2}+x^{2}=10^{2}$$
$$64 + x^{2}=100$$

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

$$x^{2}=100 - 64$$
$$x^{2}=36$$

Step4: Find \(x\)

$$x=\sqrt{36}$$
$$x = 6$$

Answer:

\(x = 6\)