Question

for the following right triangle, find the side length x. round your answer to the nearest hundredth. 12 x 18

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + b^2 = c^2$$
Here, $a = x$, $b = 12$, $c = 18$, so:
$$x^2 + 12^2 = 18^2$$

Step2: Calculate squared values

$$x^2 + 144 = 324$$

Step3: Isolate $x^2$

$$x^2 = 324 - 144$$
$$x^2 = 180$$

Step4: Solve for $x$

$$x = \sqrt{180}$$

Step5: Round to nearest hundredth

$$x \approx 13.42$$

Answer:

13.42