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find the length of the missing side. 5 cm 12 cm 15 cm 17 cm 13 cm 22 cm

Question

find the length of the missing side. 5 cm 12 cm 15 cm 17 cm 13 cm 22 cm

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 5\), \(b=12\), find \(c\).

Step2: Substitute values

$$5^{2}+12^{2}=c^{2}$$
$$25 + 144=c^{2}$$
$$169=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{169}$$
$$c = 13$$

Answer:

13 cm