Question

Help me so confused?

Answer 1

6. That's a rhombus, so the meet of the diagonals is their midpoint, the diagonals are perpendicular and the sides are congruent. So GH=GE/2 and DH are the legs of a right triangle with hypotenuse GD=GF. So

`GF = √(GH^2 + DH^2) = √((42/2)^2 + (16)^2) = √(697)`

Answer: √697

7. Same story, this time we have hypotenuse EF=13, one leg FH=DF/2=9 so other leg

`EH = √(EF^2-FH^2) = √(13^2 - 9^2) = √(88) = 2 √(22)`

Answer: 2√22

Answer 2

GE=42 divide that by 2 to get GH=21, HE=21

DH=16 that is half of line DF, so HF=16 too

so GF would be 21+16=37

EF=13 DF=18 divide 18 by 2 and get DH=9 and HF=9

since HF=9 do 13-9=4 so EH=4