Question

analyze the diagram below and complete the instructions that follow.
find the unknown side length, x. write your answer in simplest radical form.
a ( 2sqrt{41} )
b ( 4sqrt{29} )
c ( 48 )
d ( 58 )

Explanation:

Step1: Apply Pythagorean theorem

$$x^2 = 42^2 + 40^2$$

Step2: Calculate squared terms

$$x^2 = 1764 + 1600$$

Step3: Sum the values

$$x^2 = 3364$$

Step4: Take square root

$$x = \sqrt{3364} = 58$$

Answer:

D. 58