Question

find the value of x.
8
12
x = ?√□

Explanation:

Step1: Apply Pythagorean theorem

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

Step2: Substitute known values

$8^2 + x^2 = 12^2$

Step3: Calculate squared terms

$64 + x^2 = 144$

Step4: Isolate $x^2$

$x^2 = 144 - 64 = 80$

Step5: Solve for x, simplify radical

$x = \sqrt{80} = \sqrt{16 \times 5} = 4\sqrt{5}$

Answer:

$x = 4\sqrt{5}$