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.

Correct result:

u₂ =  4.8 cm

Solution:

$$\begin{gathered} a=4 \\ {u}_1=6.4 \\ {a}^2=(u_1\mathrm{/}2{)}^2+(u_2\mathrm{/}2{)}^2 \\ {u}_2=2\cdot \sqrt{a^2-(u_1\mathrm{/}2{)}^2}=2\cdot \sqrt{4^2-(6.4\mathrm{/}2{)}^2}={\displaystyle \frac{24}{5}}=4\frac{4}{5}={\displaystyle \frac{24}{5}}\text{ cm}=4.8\text{ cm} \end{gathered}$$

Try another example

Showing 0 comments:

Related math problems and questions:

• Rhombus
  The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height
• 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.
• Rhombus diagonals
  In the rhombus ABCD are given the sizes of diagonals e = 24 cm; f = 10 cm. Calculate the side length of the diamond and the size of the angles, calculate the content of the diamond
• Diagonals
  Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.
• Diagonal
  he rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has area 15cm square. Bases have lengths AB = 6cm, CD = 4cm. Calculate the length of the AC diagonal.
• Rhombus IV
  Calculate the length of the diagonals of the rhombus, whose lengths are in the ratio 1: 2 and a rhombus side is 35 cm.
• Rhombus ABCD
  Rhombus ABCD, |AC| = 90 cm, |BD| = 49 cm. Calculate the perimeter of the rhombus ABCD.
• Diamond diagonals
  Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
• Diamond side
  The diagonals of the diamond are 18 cm and 14 cm long. Calculate the length of the diamond side.
• Rhombus
  It is given a rhombus of side length a = 19 cm. Touchpoints of inscribed circle divided his sides into sections a₁ = 5 cm and a₂ = 14 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus.
• Diamond area from diagonals
  In the diamond ABCD is AB = 4 dm and the length of the diagonal is 6.4 dm long. What is the area of the diamond?
• Construct
  Construct a rhombus ABCD, if the size of the diagonal AC is 6 cm and diagonal BD 8 cm long.
• 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.
• ABCD square
  In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment?
• Rhombus and diagonals
  The a rhombus area is 150 cm² and the ratio of the diagonals is 3:4. Calculate the length of its height.
• Rhombus and inscribed circle
  It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
• Diamond ABCD
  In the diamond ABCD is the diagonal e = 24 cm and size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.