Question

pythagorean theorem
6
86m
?m
45m
find the length of the missing side of the right triangle.
a. 82m c. 58.4m
b. 22.5m d. 29.1m
a
b
c
d

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$, where $c$ is hypotenuse, $a,b$ are legs.

Step2: Assign values to variables

Let $a=?$, $b=38$, $c=45$. Rearrange for $a$: $a = \sqrt{c^2 - b^2}$

Step3: Calculate $c^2 - b^2$

$45^2 - 38^2 = 2025 - 1444 = 581$

Step4: Compute square root of result

$a = \sqrt{581} \approx 24.1$

Answer:

D. 24.1m