# Rhombus construct

Construct parallelogram (rhombus) ABCD, | AB | = 4 cm alpha = 30° and | BD | = 5 cm.

### Correct answer:

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**Dr Math**

approach:

1. draw useck AB

2 angle ABX = alpha = 30 °

2. circle k1 (B; r = | BD | = 5 cm)

3. D is the intersection of the angle arm BX and k1

4 draw the parallel DY with the side AB

5. circle k2 (D; r = | AB | = 4 cm)

6. C is the intersection of k2 and the line DY

7. connect the ABCD points to the rhombus

1. draw useck AB

2 angle ABX = alpha = 30 °

2. circle k1 (B; r = | BD | = 5 cm)

3. D is the intersection of the angle arm BX and k1

4 draw the parallel DY with the side AB

5. circle k2 (D; r = | AB | = 4 cm)

6. C is the intersection of k2 and the line DY

7. connect the ABCD points to the rhombus

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