Thread: problem in solid geometry

if ABC is a triangle where AB = 5cm , AC = 3cm , D is the midpoint of BC and draw AH = (6 *root 2)cm perpendicular to both AC and AB . find the length of DH

Image is wrong if AH=6*squrt(2)=8.485 cm. Is AH perpendicular to BC? You say it is prep to both AC & AB!!!!!!?!??!

Hello, mido22!

ABC is a triangle where AB = 5cm, AC = 3cm, D is the midpoint of BC.
Draw AH = 6√2 cm, perpendicular to both AC and AB.
Find the length of DH.

The diagram looks like this.

Code:

            H
            o
            | *
           *|  _*
            |6√2 *
          * |       *
            |         *
         *  o - - - - - o B
           *A    5   *
        * *       *
         *3    o
       **   *   D
       * *
      o
      C

I don't see a unique length for

It depends on

If

If

sorry i forgot to write that BC = 7 cm

<BAC not zero and not 180

i have a final answer that HD = 2.5 but i can't find a proof

i can prove that AH is perpendicular to BC since it is perpendicular to both AB , AC but then i don't know >>