Question

If abcdef ia a ragular hexagon and if ab +ac +ad +ae +af=kad then k is

Answer 1

Your answer is Hi
Divide the
$hexagone$
into
$4$
triangles by joining AC, AD, AE .
Considering triangle ACD, v get AD= AC + CD
for Tri ADE , AD= AE + ED
Add the two eq=>
$2$
AD= AC + CD + AE + ED
Now, AF = CD, because its a regular hexagon, therefore it has equal and parallel opposide sides.
Similarly ,
$ed = ab$
Substitute in the eq :
$2$
AD= AB+ AC + AE + AF
Add one more AD both the sides and v get the desired result.

$thanks$