Question

This is the first time i have been introduced to this without any help with my teacher

Answer 1

well, is a kite so it has two congruent triangles above and two congruent triangles below, for the perimeter is simply the hypotenuse of all four right-triangles.

`\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}{above}\\ a=\stackrel{adjacent}{4}\\ o=\stackrel{opposite}{3} \end{cases} \\\\\\ above=√( 4^2 + 3^2)\implies above=√( 16 + 9 ) \implies above=√( 25 )\implies above=5 \\\\[-0.35em] ~\dotfill`

`\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}{below}\\ a=\stackrel{adjacent}{3}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ below=√( 3^2 + 7^2)\implies below=√( 9 + 49 ) \implies below=√( 58 ) \\\\[-0.35em] ~\dotfill`

`5~~ + ~~5~~ + ~~√(58)~~ + ~~√(58) ~~ \approx ~~ \text{\LARGE 25.2}`