Question

Line M is perpendicular bisector. Then how long is it

Answer 1

Since m is a bisector of FH, we can draw the right triangle:

Now using the Pythagorean theorem, we can write:

`\begin{gathered} EF^2=EG^2+FG^2 \\ EF^2=12^2+5^2 \end{gathered}`

And solve:

`EF=\sqrt[]{12^2+5^2}=\sqrt[]{144+25}=\sqrt[]{169}=13`

EF = 13

Since m bisects FH,

`FG=GH=5`

Finally, The triangle EGH is congruent with triangle EFG, by SAS. Then

`EH=EF=13`

The whole answer is:

• EF = 13

,

• GH = 5

,

• EH = 13