Thread: geometry finding length

how do you find segment AD and segment DH?

i was thinking of the trapezoid and separating it into 3 different shapes; a rectangle, a triangle and a triangle.

Hello, algebra2!

Code:

          A 2 H
          *---*
       2/ |     \
    B *---*P      * G
     2|   |       |
      |   |       |
    C *---*Q      * F
       2\ |     /
          *---*
          D 2 E

We have a regular octagon with side 2.
Draw
Draw

We have isosceles right triangle with hypotenuse 2.
. . Hence: .
Similarly: .

Hence: .

. . Therefore: .


In right triangle

. . Therefore: .