# Rhombus

Internal angles of rhombus is in ratio 2:3.

How many times is the shorter diagonal longer than side of rhombus?

Result

x =  1.18

#### Solution:

$\alpha : \beta = \dfrac{ \alpha}{2} : \dfrac{ \beta}{2} = 2:3 \ \\ \dfrac{ \alpha}{2} = \dfrac{ 2 }{ 2+3} \cdot 90 ^\circ = 36 ^\circ \ \\ x = 2 \sin(\dfrac{ \alpha}{2}) = 1.18$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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

Be the first to comment!

Tips to related online calculators
Check out our ratio calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

## Next similar math problems:

1. Rhombus
If we increase the rhombus side by 2.4 cm; its perimeter is 20 cm. How long was the side of the rhombus?
2. Complementary angles 2
Two complementary angles are (x+4) and (2x - 7) find the value of x
3. Translations
If I going to translate the book 6 pages per day I translate it 4 days earlier than if I translated 5 pages a day. If I translate 4 pages a day I translate it for how many days.....?
4. The farmer
The farmer had 140 sheep. For the next year, she decided to change the number of sheep in ratio 10: 7. How many sheep will he have then?
5. Is right triangle
One angle of the triangle is 36° and the remaining two are in the ratio 3:5. Determine whether triangle is a rectangular triangle.
6. Type of triangle
How do I find the triangle type if the angle ratio is 2:3:7 ?
7. Median
The median of the triangle LMN is away from vertex N 84 cm. Calculate the length of the median, which start at N.
8. 1.5 divided
1.5 divided by 1 = w divided by 4
9. Unknown number 24
f we add 20, we get 50% of its triple. What is this unknown number?
10. Two numbers
Determine the numbers x and y so x + y = 8 is truth and the numbers are in the ratio of 4: 5.
11. Simple equation
Solve for x: 3(x + 2) = x - 18
12. Height 2
Calculate the height of the equilateral triangle with side 38.
13. Equation
Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
14. Center traverse
It is true that the middle traverse bisects the triangle?
15. Unknown number
Identify unknown number which 1/5 is 40 greater than one tenth of that number.