Square side

Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0.

Result

a =  1.77

Solution:

v(A,BD)=∣−4⋅0+⋅0−5∣(−4)2+02=1.25 u=∣AC∣=∣BD∣=2⋅v(A,BD)=2.5  u=2a a=u/2=1.77v(A, BD) = \dfrac{|-4\cdot 0+\cdot 0 -5|}{\sqrt{ (-4)^2 + 0^2}} = 1.25 \ \\ u = |AC| = |BD| = 2 \cdot v(A, BD) = 2.5 \ \\ \ \\ u = \sqrt2 a \ \\ a = u / \sqrt2 = 1.77

Try another example


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...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.
Pythagorean theorem is the base for the right triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Square
    ppyth5 Calculate the side of a square with a diagonal measurement 10 cm.
  2. Dog
    stvorec_1 Dog is tied to a chain, which is mounted in a corner of the yard. Yard has the shape of a square with a side length of 20 meters. The same long is also dogchain. Are there places in the yard where dog can't reach?
  3. Square2
    square_2 Side of the square is a = 6.2 cm, how long is its diagonal?
  4. The cellar
    X Mr Novák has a cellar and a cellar window in the chalet has 0.6 meter square window. The window wishes to place an X-shaped grid in a square. He uses iron welded bars. Calculate the lengths of individual bars and what the total length of the bars he has t
  5. Center
    circle Calculate the coordinates of the circle center: ?
  6. Calculation
    pocty How much is sum of square root of six and the square root of 225?
  7. Geometric progression 4
    square_rot_1 8,4√2,4,2√2
  8. Parametric equation
    line Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
  9. College 2
    fuel College student is moving into a dormitory. The student rent a truck for $19.95 plus $0.99 per mile. Before returning the truck the student fills the tank with gasoline, which cost $65.32. Total cost $144.67. Using a linear equation, explain the process t
  10. Equation of circle
    circle_analytics find an equation of the circle with indicated properties: a. center at (-3,5), diameter 20. b. center at origin and diameter 16.
  11. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  12. Line
    skew_lines It is true that the lines that do not intersect are parallel?
  13. Add vector
    vectors_2 Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ.
  14. Points collinear
    collinear Show that the point A(-1,3), B(3,2), C(11,0) are col-linear.
  15. Line
    img2 Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
  16. Circle - AG
    circle2 Find the coordinates of circle and its diameter if its equation is: ?
  17. Symmetry by plane
    roviny Determine the coordinates of a image of point A (3, -4, -6) at a symmetry that is determined by the plane x-y-4z-13 = 0