Question

The perimeter of XYZ is ___ units.

Answer 1

Look at the picture.

`ZY = 5+3=8`

For XY and ZX use the Pythagorean theorem.

`XY^2=3^2+4^2\\\\XY^2=9+16\\\\XY^2=25\to XY=√(25)\\\\XY=5`

`ZX^2=5^2+4^2\\\\ZX^2=25+16\\\\ZX^2=41\to ZX=√(41)`

The perimetero fo XYZ:

`P_(\triangle XYZ)=8+5+√(41)=\boxed{13+√(41)}`