Question

find the value of x.
10
15
$x = ?\sqrt{\\ \\ }$

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Here, $a=10$, $c=15$, $b=x$, so:
$$10^2 + x^2 = 15^2$$

Step2: Calculate squared values

$$100 + x^2 = 225$$

Step3: Isolate $x^2$

$$x^2 = 225 - 100$$
$$x^2 = 125$$

Step4: Solve for $x$ (simplify radical)

$$x = \sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5}$$

Answer:

$x = 5\sqrt{5}$