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solve for c. 11 c 14 c = ? pythagorean theorem: a² + b² = c² round your…

Question

solve for c.
11
c
14
c = ?
pythagorean theorem: a² + b² = c²
round your answer to the n
submit answer

Explanation:

Step1: Apply Pythagorean Theorem

$$a^{2}+b^{2}=c^{2}$$
Here \(a = 11\), \(b=14\). Substitute into the formula: \(11^{2}+14^{2}=c^{2}\).

Step2: Calculate \(11^{2}\) and \(14^{2}\)

\(11^{2}=121\), \(14^{2}=196\). Then \(121 + 196=c^{2}\), so \(c^{2}=317\).

Step3: Solve for \(c\)

\(c=\sqrt{317}\approx17.8\)

Answer:

\(17.8\)