Question

find the value of c. pythagorean theorem: a^2 + b^2 = c^2 7 ft 5 ft c = √?

Explanation:

Step1: Identify values of a and b

Let $a = 5$ and $b = 7$.

Step2: Apply Pythagorean theorem

According to $a^{2}+b^{2}=c^{2}$, we substitute the values: $c^{2}=5^{2}+7^{2}$.
Calculate $5^{2}=25$ and $7^{2}=49$. Then $c^{2}=25 + 49=74$.

Step3: Solve for c

Since $c^{2}=74$, then $c=\sqrt{74}$.

Answer:

$\sqrt{74}$