Question

19. (L83) Find x.
A. 11√4
B. 2√7
C. 4√11
D. 7√2
E. None of the above

Answer 1

Check the picture below.

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=√(a^2 + o^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ x=√( 7^2 + 7^2)\implies x=√(7^2(1+1))\implies x=√(7^2(2))\implies x=7√(2)`