Question

what is the length of side a rounded to the nearest tenth of a centimeter?
the length of side a rounded to the nearest tenth of a centimeter is 9 cm.
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Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + 8^2 = 12.8^2$$

Step2: Isolate $a^2$

$$a^2 = 12.8^2 - 8^2$$

Step3: Calculate squared values

$$a^2 = 163.84 - 64 = 99.84$$

Step4: Solve for $a$

$$a = \sqrt{99.84} \approx 9.992$$

Step5: Round to nearest tenth

$$a \approx 10.0$$

Answer:

10.0 cm