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find the value of c. pythagorean theorem: a² + b² = c² 7 m 3 m c = √?

Question

find the value of c. pythagorean theorem: a² + b² = c² 7 m 3 m c = √?

Explanation:

Step1: Identify a and b

Let $a = 3$ and $b = 7$.

Step2: Apply Pythagorean theorem

According to $a^{2}+b^{2}=c^{2}$, we substitute the values: $c^{2}=3^{2}+7^{2}=9 + 49$.

Step3: Calculate the value inside the square - root

$9+49 = 58$.

Step4: Solve for c

$c=\sqrt{58}$.

Answer:

$\sqrt{58}$