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The first two trapeziums in mathematics
Well, just let DK be parallel to the AC and BC extension lines at K.

Almost the same.

Because DK is in parallel with AC

So BDK angle = 90.

Because isosceles trapezoid

Therefore, AC=BD=BK (it is necessary to prove that the four ACKD are parallel to each other).

Because the trapezoidal area is the BDK area of triangle (triangle with the same base and height)

Do DE perpendicular to BC

Good, good. Keep listening to me.

(Hint: the triangle BDK is an isosceles right triangle) =

Because BK*DE/2=49, it is easy to prove that DE= 1/2BK.

So de squared =49.

DE=7=AF

The first question has been answered.

The second question is the same. Take a closer look. Isn't AD+BC our dear BK? .....

So DE= 1/2BK=5.

I answered the fake first. Don't! oh

I'm online, and you can always ask me for help.