# Rhombus construction

Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides.

### Correct answer:

**Showing 2 comments:**

**Dr Math**

1. draw line segment AB = 6 cm

2. draw circle k1 (B, r=6 cm)

2. draw circle k2 (A, r=9 cm)

4. point C is intersect k1 and k2

5. draw line u2 from B perpendicular to AC

6. draw circle k3 (A, r=6 cm)

7. point D is intersect k3 and line u2

8. connect points ABCD to rhombus

9. point S is intersect of AC diagonal and BD diagonal

10. make perpendicular line u3 from S to AB.

11. draw inswribed circle with center S and radius SX, X is intersection of u3 and AB

2. draw circle k1 (B, r=6 cm)

2. draw circle k2 (A, r=9 cm)

4. point C is intersect k1 and k2

5. draw line u2 from B perpendicular to AC

6. draw circle k3 (A, r=6 cm)

7. point D is intersect k3 and line u2

8. connect points ABCD to rhombus

9. point S is intersect of AC diagonal and BD diagonal

10. make perpendicular line u3 from S to AB.

11. draw inswribed circle with center S and radius SX, X is intersection of u3 and AB

**Dr Math**

another steps:

1. Draw AC = 9cm horizontally.

2. With A as center and AB =6cm as radius, draw arcs above and below AC.

3. With C as center and AB as radius, draw arcs to cut the earlier arcs.

4. Intersection points are B and D.

5. Join all sides.

6. Draw BD. The intersection of AC AND BD is O , the center of the incircle.

7. Draw an arc with O as center and OB as radius to cut BC at E.

8. Draw perpendicular bisector of BE. It passes through O. Mid point of BE is F.

9. OF as radius and O as center draw the incircle.

1. Draw AC = 9cm horizontally.

2. With A as center and AB =6cm as radius, draw arcs above and below AC.

3. With C as center and AB as radius, draw arcs to cut the earlier arcs.

4. Intersection points are B and D.

5. Join all sides.

6. Draw BD. The intersection of AC AND BD is O , the center of the incircle.

7. Draw an arc with O as center and OB as radius to cut BC at E.

8. Draw perpendicular bisector of BE. It passes through O. Mid point of BE is F.

9. OF as radius and O as center draw the incircle.

#### You need to know the following knowledge to solve this word math problem:

#### Themes, topics:

#### Grade of the word problem:

## Related math problems and questions:

- Construct 5333

Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Construct rhombus

Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm - Construct 80719

Construct a rectangle ABCD if a = 8cm and the length of the diagonal AC is 13cm. Measure the length of the sides of the rectangle. - Rhombus construct

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

Construct a rhombus ABCD if the size of the diagonal AC is 6 cm and the diagonal BD is 8 cm long. - Construct 10921

Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Calculate 2416

In the rectangle ABCD we know the side length AB = 16 cm and the diagonal AC = 20 cm. Calculate its perimeter and area. - Triangle in a square

In a square ABCD with side a = 6 cm, point E is the center of side AB, and point F is the center of side BC. Calculate the size of all angles of the triangle DEF and the lengths of its sides. - Diagonals in diamons/rhombus

Rhombus ABCD has a side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal. - Quadrilateral 3262

Construct a quadrilateral ABCD with dimensions AB, BC, AC, BD, and angle d = CDA. - Construct 11511

Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Construct

Construct a rhombus ABCD with side a = 7cm, b = 5cm, whose diagonal e is perpendicular to side b. - Diagonals of rhombus

Find the length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm. - Trapezium diagonals

It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC. - Construction 3357

ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure? - Quadrilateral 27693

Construct a quadrilateral ABCD with diagonals AC = e 7cm, BD = f = 6.2cm, d = 4.3cm, a = 5.3cm and β = 125 ° - Rhombus

Calculate the length of the diagonal AC of the rhombus ABCD if its perimeter is 84 dm and the other diagonal BD has length 20 dm.