Question

find the length of the leg x of the right triangle shown below.
x = \boxed{\quad} cm
round your answer to the nearest thousandth as needed.

Explanation:

Step1: Apply Pythagorean theorem

$$x^2 + 13^2 = 18^2$$

Step2: Calculate squared side values

$$x^2 + 169 = 324$$

Step3: Isolate $x^2$

$$x^2 = 324 - 169 = 155$$

Step4: Solve for $x$

$$x = \sqrt{155}$$

Step5: Compute decimal value

$$x \approx 12.4499$$

Answer:

12.450 cm