Question

find the unknown side length x. write your answer in simplest radical form.
50
x
30
a. 35
b. 40
c. 45
d. 48
please select the best answer from the choices provided
a
b
c

Explanation:

Step1: Recall Pythagorean theorem

For right triangle: $a^2 + b^2 = c^2$

Step2: Substitute known values

$x^2 + 30^2 = 50^2$

Step3: Calculate squared terms

$x^2 + 900 = 2500$

Step4: Isolate $x^2$

$x^2 = 2500 - 900 = 1600$

Step5: Solve for x

$x = \sqrt{1600} = 40$

Answer:

B. 40