Question

find the value of a. pythagorean theorem: a² + b² = c² a = √?

Explanation:

Step1: Identify sides in Pythagorean Theorem

Let $b = 7$ in, $c=12$ in, and we want to find $a$. According to $a^{2}+b^{2}=c^{2}$, we can rewrite it to solve for $a$: $a^{2}=c^{2}-b^{2}$.

Step2: Substitute values

Substitute $b = 7$ and $c = 12$ into the formula $a^{2}=c^{2}-b^{2}$. So $a^{2}=12^{2}-7^{2}=144 - 49$.

Step3: Calculate the value of $a^{2}$

$144-49 = 95$.

Step4: Find the value of $a$

Since $a^{2}=95$, then $a=\sqrt{95}$.

Answer:

$\sqrt{95}$