Write the equations of the sides of a rhombus with diagonals 6 and 10 cm, taking the larger diagonal

Write the equations of the sides of a rhombus with diagonals 6 and 10 cm, taking the larger diagonal as the Ox axis, and the smaller one as the Oy axis.

If we take the large diagonal of the rhombus as the X axis, the smaller diagonal as the Y axis, then the vertices of the rhombus will be points A (5; 0), B (0; 3), C (-5; 0), D (0; -3) …

Now let’s write the equations of the straight lines:

1) AB. We substitute the direct coordinates of the points into the equation:

0 = 5 * k + b;

3 = 0 + b;

b = 3;

k = -0.6;

y = -0.6 * x + 3.

2) BC:

3 = b;

0 = -5 * k + b;

k = 0.6;

y = 0.6 * x + 3.

3) CD:

0 = -5 * k + b;

-3 = 0 + b;

b = -3;

k = -3/5;

y = -0.6 * x – 3.

4) AD:

0 = 5 * k + b;

-3 = b;

k = 0.6;

y = 0.6 * x – 3.

All equations are similar in their formulas.