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:

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

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

Be the first to comment!

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

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.

Next similar math problems:

1. Square
Calculate the side of a square with a diagonal measurement 10 cm.
2. Tree trunk
From the tree trunk, the diameter at the narrower end is 28 cm, a beam of square cross-section is to be made. Calculate the longest side of the largest possible square cross-section.
3. Dog
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?
4. Square2
Side of the square is a = 6.2 cm, how long is its diagonal?
5. The cellar
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
6. Center
Calculate the coordinates of the circle center: ?
7. Calculation
How much is sum of square root of six and the square root of 225?
8. Geometric progression 4
8,4√2,4,2√2
9. Parametric equation
Find the parametric equation of a line with y-intercept (0,-4) and a slope of -2.
10. Equation of circle
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
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?