Question

1. use the pythagorean theorem to
2. what is the length of bd?

Explanation:

Step1: Apply Pythagorean theorem

$x^{2}+7^{2}=(x + 1)^{2}$

Step2: Expand right - hand side

$x^{2}+49=x^{2}+2x + 1$

Step3: Simplify equation

$49=2x + 1$
$2x=48$
$x = 24$

Answer:

$x = 24$