Question

10 cm, 7 cm, a. what is the length of the missing leg? if necessary, round to the nearest tenth. a = centimeters

Explanation:

Step1: Apply Pythagorean theorem

$a^2 + 7^2 = 10^2$

Step2: Calculate known squares

$a^2 + 49 = 100$

Step3: Isolate $a^2$

$a^2 = 100 - 49 = 51$

Step4: Solve for $a$

$a = \sqrt{51} \approx 7.1$

Answer:

7.1 centimeters