Find the length of the missing side. Leave your answer in simplest radical form. A. 296 ft B. 2[tex]\sqrt{74}[/tex] ft C. [tex]\sqrt{206}[/tex] ft D. [tex]\sqrt{26}[/tex] ft

Answer:
B
Step-by-step explanation:
Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.
The Pythagorean Theorem is:
[tex]c^2=a^2+b^2[/tex]
Where c is the hypotenuse (longest side) and a and b are the two legs.
Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.
[tex]c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=\sqrt{296}=\sqrt{4\cdot 74}=\sqrt4\cdot\sqrt{74}=2\sqrt{74}[/tex]