Rhombus construction

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

Result

x=##:  0







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

Showing 2 comments:
#1
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
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.

avatar









To solve this example are needed these knowledge from mathematics:

Next similar examples:

  1. Diamond
    rhombus2_2 Determine the side of diamond if its content is S = 353 cm2 and one diagonal u2 = 45 cm.
  2. Diamond
    diagonals-rhombus Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm
  3. 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.
  4. Ruler and compass
    triangle_bac Use a ruler and compass to construct a triangle ABC with AB 5cm BAC 60° and ACB 45°.
  5. 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'.
  6. 10 pieces
    circle_div How to divide the circle into 10 parts (geometrically)?
  7. 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
  8. 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.
  9. Equations
    p1110617 Solve following system of equations: 6(x+7)+4(y-5)=12 2(x+y)-3(-2x+4y)=-44
  10. Percentages
    permutations_3_3 52 is what percent of 93?
  11. Mushrooms
    huby_2 Eva and Jane collected 114 mushrooms together. Eve found twice as much as Jane. How many mushrooms found each of them?
  12. Mine
    minetower Wheel in traction tower has a diameter 2 m. How many meters will perform an elevator cabin if wheel rotates in the same direction 66 times?
  13. The ball
    ball1_4 The ball was discounted by 10 percent and then again by 30 percent. How many percent of the original price is now?
  14. Frameworks is bad
    space Calculate how many percent will increase the length of an HTML document, if any ASCII character unnecessarily encoded as hexadecimal HTML entity composed of six characters (ampersand, grid #, x, two hex digits and the semicolon). Ie. space as:  
  15. Hotel rooms
    hotel_3 In the 45 rooms, there were 169 guests, some rooms were three-bedrooms and some five-bedrooms. How many rooms were?
  16. 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.
  17. Equations - simple
    linearna_1 Solve system of linear equations: x-2y=6 3x+2y=4