Question

find the length of the missing side of the triangle. for any answers with a square root, simplify and write your answer in the form sqrt(__) with no spaces.

x =

Explanation:

⚡ Using what you learned: the pythagorean theorem and its converse

Step 1: Set up the equation

$$ (\sqrt{26})^2 + x^2 = 7^2 $$

Step 2: Simplify and solve for \( x \)

$$ 26 + x^2 = 49 $$

$$ x^2 = 49 - 26 $$

$$ x^2 = 23 $$

$$ x = \sqrt{23} $$

Answer:

sqrt(23)