Question

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

Explanation:

Step1: Apply Pythagorean theorem

Let hypotenuse = 9 cm, one leg = 4 cm. Theorem: $a^2 + 4^2 = 9^2$

Step2: Calculate squares

$a^2 + 16 = 81$

Step3: Solve for $a^2$

$a^2 = 81 - 16 = 65$

Step4: Find $a$

$a = \sqrt{65} \approx 8.1$

Answer:

8.1