Question

a right triangle and two of its side lengths are shown in the diagram. x cm, 12 cm, 8 cm. which measurement is closest to the value of x in centimeters? round to the nearest tenth.

Explanation:

Step1: Apply Pythagorean theorem

$$x^2 = 8^2 + 12^2$$

Step2: Calculate squared side sums

$$x^2 = 64 + 144 = 208$$

Step3: Solve for x via square root

$$x = \sqrt{208} \approx 14.4$$

Answer:

14.4 cm