Question

Use the Pythagorean theorem to find the value of b²

Answer 1

So what is the Pythagorean Theorem:

⇒ it states the sum of both leg's lengths squared is equal to

⇒ hypotenuse's length squared

(look at the image attached for a better explanation)

To find out
`b^2`, let's look to the Pythagorean equation to see what we are missing:

`a^2 + b^2 = c^2\\(10^2) + b^2 = 325\\b^2 = 325 - 10^2\\b^2 = 325 - 100 = 225\\b^2 = 225`

• a = 10 ⇒
  `a^2` = 100
• 
  `c^2 = 325`

So b^2 = 225 ⇒ Choice B

Hope that helps!