HOPE is a rectangle. Its diagonals intersecteach other at point S. Fin

1.	HOPE is a rectangle. Its diagonals intersecteach other at point S. Find the value of x. IfSH 2x +4 and SE 3x +1.
Answer» In case of a rectangle the length of the two diagonals are always equal, and they both meet at their midpoint. Thus, AC = BD or, (1/2) AC = (1/2) BD or, OA = OD or, 2x + 4 = 3x + 1 or, -x = -3 or, x = 3 Therefore, value of x is 3.

HOPE is a rectangle. Its diagonals intersecteach other at point S. Find the value of x. IfSH 2x +4 and SE 3x +1.

Answer»

In case of a rectangle the length of the two diagonals are always equal, and they both meet at their midpoint.

Thus, AC = BD

or, (1/2) AC = (1/2) BD

or, OA = OD

or, 2x + 4 = 3x + 1

or, -x = -3

or, x = 3

Therefore, value of x is 3.