Arhombus, coal is centered at the origin. the longer diagonal is on the y-axis and has a

length of 27m. the shorter diagonal is on the x-axis and has a length of has diagonals with

length 19m. determine the coordinates of the vertices.

Answer with Step-by-step explanation:

We are given  that

COAL is a rhombus .

CA and LO are the diagonals of rhombus COAL.

CA=27 m

OL=19 m

We know that

Diagonals of rhombus are bisect to each other.

Let P(0,0) be the intersecting point of diagonals

Therefore, CP=PA

LP=PO

Length PO=

Length of CP=

Let C(.

Distance formula:

Using the formula

C(0,13.5) or (0,-13.5)

Substitute the value

A(0,-13.5)

A(0,40.5)

Substitute

A(0,-40.5)

A(0,13.5)

L(9.5,0) or L(-9.5,0)

O(-9.5,0) or O(28.5,0) or (-28.5,0) or (9.5,0)

a is the right answer