Question

what is the length of the missing leg? if necessary, round to the nearest tenth.
( a = ) (\boxed{}) centimeters

Explanation:

Step1: Apply Pythagorean theorem

$$a^2 + 6.5^2 = 10^2$$

Step2: Isolate $a^2$

$$a^2 = 10^2 - 6.5^2$$

Step3: Calculate values

$$a^2 = 100 - 42.25 = 57.75$$

Step4: Solve for $a$

$$a = \sqrt{57.75} \approx 7.6$$

Answer:

7.6 centimeters