Question

1. solve for x. show all work. be prepared to share your method. turn your paper over

Explanation:

Step1: Apply Pythagorean theorem

$$(x + 3)^2+10^2=26^2$$

Step2: Expand and simplify

$$(x + 3)^2+100 = 676$$
$$(x + 3)^2=676 - 100$$
$$(x + 3)^2=576$$

Step3: Take square root

$$x + 3=\pm\sqrt{576}$$
Since length cannot be negative, \(x + 3 = 24\)

Step4: Solve for \(x\)

$$x=24 - 3$$

Answer:

\(x = 21\)