Question

HIJK is a rectangle. Find the value of x and the length of each diagonal. HJ=x and IK= 2x-7

Answer 1

HJ and IK are diagonals.
By definition of rectangle, the diagonals are congruent or equal.
HJ=IK
x=2x-7
-x+x=2x-x-7
0=x-7
0+7=x-7+7
7=x and 2x-7=2 (7)-7=14-7=7
Diagonals are equal and are equal to 7