Question

Can you help me with this? i got it wrong

Answer 1

`YZ=35.3`

1) Let's sketch this out so that we can better understand it

2) Reminding ourselves of the metric relations of a right triangle we can write out the following:

`\begin{gathered} h^2=m\cdot n \\ YO^2=26\cdot12 \\ YO=\sqrt[]{312} \\ OZ=\sqrt[]{26.12} \\ OZ=\sqrt[]{312} \\ YZ=\sqrt[]{312}+\sqrt[]{312} \\ YZ=2\sqrt[]{312} \\ YZ=35.3 \end{gathered}`

Note that the radius intersects that chord with a 90º angle so it bisects that chord.