Rhombus construction

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


x=##:  0

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

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

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.


To solve this example are needed these knowledge from mathematics:

Next similar examples:

  1. The sum graphically
    fun_1 Draw a graphically sum of the all sides of 4-gon ABCD.
  2. Diagonals in diamons/rhombus
    diamonds Rhombus ABCD has side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal.
  3. Diamond
    rhombus2_2 Determine the side of diamond if its content is S = 500 cm2 and one diagonal u2 = 46 cm.
  4. Diamond
    diagonals-rhombus Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm
  5. Circle in rhombus
    circle_rhombus In the rhombus is inscribed circle. Contact points of touch divide the sides to parts of length 18 cm and 17 cm. Calculate the circle area.
  6. Ruler and compass
    triangle_bac Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°.
  7. Outer contact of circles
    nakres_2z Construct a circle k1 (S1; 1.5 cm), k2 (S2; 2 cm), and K3 (S3; 2.5 cm) so that they are always two outer contact. Calculate the perimeter of the triangle S1S2S3.
  8. Regular octagon
    220px-N_uholnik Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S '): ABCDEFGH - A'B'C'D'E'F'G'H'.
  9. 10 pieces
    circle_div How to divide the circle into 10 parts (geometrically)?
  10. Circular lawn
    circular_flowerbed_1 Around a circular lawn area is 2 m wide sidewalk. The outer edge of the sidewalk is curb whose width is 2 m. Curbstone and the inner side of the sidewalk together form a concentric circles. Calculate the area of the circular lawn and the result round to 1
  11. Ace
    esicko The length of segment AB is 24 cm and the point M and N divided it into thirds. Calculate the circumference and area of this shape.
  12. Mushrooms
    huby_2 Eva and Jane collected 114 mushrooms together. Eve found twice as much as Jane. How many mushrooms found each of them?
  13. Equations
    p1110617 Solve following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44
  14. Two numbers
    maxwells-equation We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.
  15. Theatro
    divadlo_1 Theatrical performance was attended by 480 spectators. Women were in the audience 40 more than men and children 60 less than half of adult spectators. How many men, women and children attended a theater performance?
  16. Trees
    jablone Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
  17. Liters od milk
    milk_cylinder The cylinder-shaped container contains 80 liters of milk. Milk level is 45 cm. How much milk will in the container, if level raise to height 72 cm?