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find the length of side b. a = 6 c = 7 b = 90°

Question

find the length of side b. a = 6 c = 7 b = 90°

Explanation:

Step1: Apply Pythagorean theorem

$$b^{2}=a^{2}+c^{2}$$

Step2: Substitute values

Given \(a = 6\), \(c = 7\), then \(b^{2}=6^{2}+7^{2}=36 + 49=85\).

Step3: Solve for \(b\)

\(b=\sqrt{85}\approx9.2\)

Answer:

\(9.2\)