Respuesta :
Answer:
FH = 38
Step-by-step explanation:
Here, given the point of intersection of the two diagonals at E, we want to calculate the length of FH
The point of intersection of the diagonals is the midpoint of each as the diagonals bisect each other
thus,
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x= 10/2
x = 5
but Eg is 5x-6
and FH = 2EG
FH = 2(5x-6)
FH = 10x - 12
Substitute x = 5
FH = 10(5) -12
FH = 50-12
FH = 38
The length of FH is 38.
- The calculation is as follows:
3x + 4 = 5x - 6
5x-3x = 6+ 4
2x = 10
x = 5
Here EG is 5x-6
and FH = 2EG
So,
FH = 2(5x-6)
= 10x - 12
Substitute x = 5
= 10(5) -12
= 50-12
= 38
Learn more: brainly.com/question/17429689
