Construct

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

Correct answer:

a =  5 cm

Step-by-step explanation:

$$\begin{gathered} u_1=6\text{ cm } \\ {u}_2=8\text{ cm } \\ a=\sqrt{(u_1\mathrm{/}2{)}^2+(u_2\mathrm{/}2{)}^2}=\sqrt{(6\mathrm{/}2{)}^2+(8\mathrm{/}2{)}^2}=5\text{ cm} \end{gathered}$$

Try another example

Related math problems and questions:

• Construct rhombus
  Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm
• Rhombus ABCD
  Rhombus ABCD, |AC| = 90 cm, |BD| = 49 cm. Calculate the perimeter of the rhombus ABCD.
• Rhombus construction
  Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it touching all sides...
• Construction
  Construction the triangle ABC, if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60° and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction)
• 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.
• Diagonals
  Draw a square ABCD whose diagonals have a length of 6 cm
• 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.
• Diagonals in diamons/rhombus
  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.
• Triangle SSA
  Construct a triangle ABC if |AB| = 5cm v_a = 3cm, CAB = 50 °. It is to create the analysis and construction steps.
• Diagonals
  A diagonal of a rhombus is 20 cm long. If it's one side is 26 cm, find the length of the other diagonal.
• 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.
• Rhombus OWES
  OWES is a rhombus given that OW 6cm and one diagonal measures 8cm. Find its area?
• Complete construction
  Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of legs.
• Construct 1
  Construct a triangle ABC, a = 7 cm, b = 9 cm with right angle at C, construct the axis of all three sides. Measure the length of side c (and write).
• Two heights and a side
  Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm and height to side b: vb = 4 cm.
• 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.
• Diamond ABCD
  In the diamond ABCD, the diagonal e = 24 cm and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.