Question

Find the length of each side​

Answer 1

Check the picture below.

so the diagonals are 48 and 20 each and they're bisecting each other, which means we have a nice and dandy Rhombus, whose all sides are equal, so hmm let's just find the length of any of the sides.

`\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=hypotenuse\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{24} \end{cases} \\\\\\ c=√( 10^2 + 24^2)\implies c=√( 100 + 576 ) \implies c=√( 676 )\implies \boxed{c=26}`