Question

find the value of x.
12
18
x = ?√□

Explanation:

Step1: Apply Pythagorean theorem

$a^2 + b^2 = c^2$

Step2: Rearrange to solve for $x$

$x = \sqrt{c^2 - a^2}$

Step3: Substitute given values

$x = \sqrt{18^2 - 12^2}$

Step4: Calculate squares

$x = \sqrt{324 - 144}$

Step5: Simplify the radicand

$x = \sqrt{180}$

Step6: Simplify the square root

$x = 6\sqrt{5}$

Answer:

$6\sqrt{5}$