# 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 result:****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:

## Next similar math problems:

- Rhombus MATH

Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Draw a trapezoid

Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task. - Construct rhombus

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

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

It is given to a circle with the center S and radius 3.5 cm. Distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p. - Right triangle

Draw a right triangle ABC if |AB| = 5 cm |BC| = 3 cm, |AC| = 4 cm. Draw Thales circle above the hypotenuse of the triangle ABC. - Rhombus EFGH

Construct the rhombus EFGH where e = 6.7cm, height to side h: vh = 5cm - Squares above sides

Two squares are constructed on two sides of the ABC triangle. The square area above the BC side is 25 cm^{2}. The height vc to the side AB is 3 cm long. The heel P of height vc divides the AB side in a 2: 1 ratio. The AC side is longer than the BC side. Calc - Construction of trapezoid

Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction) - Rectangular trapezoid

Calculate the content of a rectangular trapezoid with a right angle at the point A and if |AC| = 4 cm, |BC| = 3 cm and the diagonal AC is perpendicular to the side BC. - Draw triangle

Construct an isosceles triangle ABC, if AB = 7cm, the size of the angle ABC is 47°, arms | AC | = | BC |. Measure the size of the BC side in mm. - Square ABCD

Construct a square ABCD with cente S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct square image in the displacement given by oriented segment SS'; S` [-1 - 4]. - Draw it!

Draw two lines c, d that c || d. On line c mark the points A, B. By point A lead perpendicular line to c. By point B lead perpendicular line to c. - Square grid

Square grid consists of a square with sides of length 1 cm. Draw in it at least three different patterns such that each had a content of 6 cm^{2}and circumference 12 cm and that their sides is in square grid. - Mrak - cloud

It is given segment AB of length 12 cm, where one side of the square MRAK laid on it. MRAK's side length 2 cm shown. MRAK gradually flips along the line segment AB the point R leaves a paper trail. Draw the whole track of point R until square can do the l - Trapezoidal prism

Calculate the surface of the quadrilateral prism ABCDA'B'C'D 'with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L - Trapezoid MO-5-Z8

ABCD is a trapezoid that lime segment CE is divided into a triangle and parallelogram, as shown. Point F is the midpoint of CE, DF line passes through the center of the segment BE, and the area of the triangle CDE is 3 cm^{2}. Determine the area of the trape