A rhombus has 4 congruent sides, its diagonals bisect each other and are perpendicular between them.
If we know the length of the side, a, and the length of one of the diagonals, d1, we can find the area, A, of the rhombus which is:
A = (d1)[(1/2)(d2)]
How to find the one half of d2?
(1/2)(d2) = √[a^2 - [(1/2)(d1)]^2] = √[a^2 - (1/4)(d1)^2]
So,
A = (d1)[(1/2)(d2)]
A = (d1)√[a^2 - (1/4)(d1)^2]
A = √[(d1^2)[a^2 - (1/4)(d1)^2]]
A = √[(d1^2)(a^2) - (d1^4)/4]
A rhombus is like a square that has had two opposite corners pulled out. That is, the side lengths are equal. Therefore the length of each side in this case is 21.
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The right side
Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
By using Pythagoras' theorem.
The area of a rhombus cannot be determined form its side lengths. The shape can be flexed into a square (when it has maximum area) to a long thin rhombus (when it has minimum area).The area of a rhombus cannot be determined form its side lengths. The shape can be flexed into a square (when it has maximum area) to a long thin rhombus (when it has minimum area).The area of a rhombus cannot be determined form its side lengths. The shape can be flexed into a square (when it has maximum area) to a long thin rhombus (when it has minimum area).The area of a rhombus cannot be determined form its side lengths. The shape can be flexed into a square (when it has maximum area) to a long thin rhombus (when it has minimum area).
If side is given too, then you can find area with one diagonal. As diagonals bisect each other in a rhombus at 90°, Using Pythogoras Theorem: (Half d1)² = (side)² - (Half d2)²
The answer depends on the measure of WHAT! Side length, angles, length of diagonals, area? And the answers to these depend on what information is given.
You don't. There is not enough information. Different rhombuses with the same side lengths can have different areas, depending on the angles.
Not enough information has been given to determine the sides of the rhombus but a rhombus has 4 equal sides
The answer depends on what information you do have.For example, given the area, A, and length of a side, s,theta = arcsin(A/s^2)
In a rhombus, all sides measure the same.
The special name given to a parallelogram with all side equal is a RHOMBUS.
That will depend on the length of the other diagonal because area of a rhombus is 0.5*product of its diagonals.
The area of a hexagon with a given side of 20 is 1,039