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:

x =  0

Try another example

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

3 years ago  Like

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.

3 years ago  Like

Related math problems and questions:

• Construct rhombus
  Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm
• Rhombus MATH
  Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120°
• Rhombus EFGH
  Construct the rhombus EFGH where e = 6.7cm, height to side h: vh = 5cm
• 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.
• Three points
  Mark three points E, F and G in the plane not lie on one line. a) Draw a line segment FG b) Construct halfline (ray) EG c) Draw a line EF
• Construct
  Construct a rhombus ABCD, if the size of the diagonal AC is 6 cm and diagonal BD 8 cm long.
• 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.
• Draw it!
  Draw two lines c, d that c || d. On line c, mark the points A, B. By point A, a lead perpendicular line to c. By point B, lead perpendicular line to c.
• 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].
• 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
• Construction of trapezoid
  Construct a trapezoid if b = 4cm, c = 7cm, d = 4,5cm, v = 3 cm (Procedure, discussion, sketch, analysis, construction)
• 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 cm². Determine the area of the trape
• Straight lines
  Draw two lines c, d so that c || d. On line c mark points A, B, from point A start perpendicular to line c, from point B perpendicular to line c.
• Two chords
  There is a given circle k (center S, radius r). From point A which lies on circle k are starting two chords of length r. What angle does chords make? Draw and measure.
• Construct
  Construct a triangle ABC inscribed circle has a radius r = 2 cm, the angle alpha = 50 degrees = 8 cm. Make a sketch, analysis, construction and description.
• Tangents construct
  The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has with a line p angle 60°. How many solutions have the task?
• Sides od triangle
  Sides of the triangle ABC has length 4 cm, 5 cm and 7 cm. Construct triangle A'B'C' that are similar to triangle ABC which has a circumference of 12 cm.