Question

The diagonals of rhombus fghj intersect at point k. if side gh is equal to 3x - 10 and side jh is equal to 6x - 19, find x

Answer 1

A rhombus is a square but turned so it looks like a diamond. This means all the sides are equal. With this information we can build an equation to solve for x.

3x - 10 = 6x - 19

1) Subtract 3x from both sides.

-10 = 3x - 19

2) Add 19 to both sides.

9 = 3x

3) Divide both sides by 3.

3 = x

x =3.