Answer:
B
Step-by-step explanation:
A rectangular door for a shed has a width of 42 in and a diagonal support of 94 in. The triangle formed by the rectangle's width (first leg), rectangle's length (second leg) and rectangle's diagonal (hypotenuse) is right triangle. By the Pythagorean theorem,
[tex]\text{leg}_1^2+\text{leg}_1^2=\text{hypotenuse}^2.[/tex]
Thus,
[tex]42^2+x^2=94^2,\\ \\x^2=94^2-42^2=7072,\\ \\x=\sqrt{7072}=4\sqrt{442}\approx 84\ in[/tex]
