Thread: Symmetry

AD, EF and BD are perpendicular to AB.

AD = 3 and BC = 5

What is the length h?

Originally Posted by Natasha1

AD, EF and BD are perpendicular to AB.

AD = 3 and BC = 5

What is the length h?

You mean probably that AD,EF and BC are perpendicular to AB?

Originally Posted by Natasha1

AD, EF and BD are perpendicular to AB.

AD = 3 and BC = 5

What is the length h?

As triangles ABD and DBF are similar:



Also trianglea ABC and ADF are similar:



So dividing these:



Hence:



Substituting this into then gives:

,

or:



RonL