Question

Find the slant height of the pyramid.

7 mm


6 mm


8 mm


5 mm

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}{3}\\ o=\stackrel{opposite}{4} \end{cases} \\\\\\ x=√( 3^2 + 4^2)\implies x=√( 9 + 16 ) \implies x=√( 25 )\implies x=5`