In the diagram above, XY = 8cm and OX = 5cm. Find Oz

In the diagram above, XY = 8cm and OX = 5cm. Find Oz

Answer Details

hyp = 5cm, adj =  8cm2 $\frac{\mathrm{<br>}\mathrm{<span\; style="font-weight:\; var(--bs-body-font-weight);\; word-spacing:\; normal;">4cm,\; opp\; =\; xcm</span>}}{}$

Pythagoras theorem: 

hyp22
 = opp2 ${}^{\mathrm{<br>}}$ + adj2 ${}^{\mathrm{<br>}}$

52 ${}^{\mathrm{<br>}}$ = x2 ${}^{\mathrm{<br>}}$ + 42 ${}^{\mathrm{<br>}}$

x
${}^2$ = 25 - 16

x = √9

x = 3cm