Question

In triangle EFG , EF=FG . EF= 6X-10 , EG =2X+14, and FG =3X+11. find EF .

Answer 1

Since EF=FG, you can set 6x - 10 = to 3x +  11

$6x -10 = 3x +11$

Then add like terms

$6x - 3x = 11+10$

so, $3x = 21$

Now you can divide by 3 to get $x = 7$ :)

then put it back into $6x - 10$

$6(7) - 10 = EF$

so, $EF = 32$