Question

Question 160
Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x, if JF = 8x + 4 and EG = 24x - 8.

Answer 1

Given, EFGH is a rectangle in which diagonals are intersecting at the point J.

We know that the diagonals of a rectangle bisect each other and are equal.
Then, EG $=2\times JF$
$\Rightarrow 24x-8=2(8x+4)\Rightarrow 24x-8=16x+8\Rightarrow 24x-16x=8+8\Rightarrow 8x=16\Rightarrow x=2$