Question

In a figure HOPE the diagonals meet at G. If HG=5x+1 EG=4x+19. Find x

Answer 1

Answer:

since the diagonals bisect each other

hp=2hg=2(5x+1)=10x+2

and

oe=2eg=2(4x+19)=8x+38

diagonals of the rectangle r equal ∴hp=op

⇒10x + 2 = 8x + 38

⇒2x = 36 or x = 18