How To Find The Angles Of A Rhombus
Probably the most famous rhombus out there is the baseball diamond. The distance between each base is the same, making the shape a rhombus!
More interesting math facts!
A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent.
There are several formulas for the rhombus that take to practice with its:
- Sides (click for more item)
All 4 sides are congruent.
- Angles
Diagonals bifurcate vertex angles.
- Diagonals
Diagonals are perpendicular.
- Area
Is a Foursquare a Rhomb?
Answer:
Yes, a square is a rhombus
A square must have iv congruent sides. Every rhomb has 4 congruent sides and then every single square is also a rhombus. A square is a special rhombus that also has 4 right angles.
Continue in mind that the question "Is a square a rhombus?" means Is every foursquare besides always a rhomb?
Is Rhomb a Square?
Answer:
No, a rhombus is not a foursquare
A square must have 4 right angles. A rhombus, on the other mitt, does not have any rules about its angles, and then there are many many, examples of a rhombus that are not besides squares.
Keep in mind that the question "Is a rhombus a foursquare?" means Is every rhombus likewise always a square?
Diagram two 
As you can encounter in diagram 2, it is possible to create a rhombus that is not a square .
Sides
All sides of a Rhombus are congruent.
$ \overline{AB} \cong \overline{BC} \\ \overline{BC} \cong \overline{CD} \\ \overline{CD} \cong \overline{DA} $
Angles
Diagonals
Diagonals are perpendicular.
$$ \angle AOD = 90^{\circ} \\ \bending AOB = 90^{\circ} \\ \angle BOC = 90^{\circ} \\ \bending COD = 90^{\circ} \\ $$
Expanse of Rhombus
Alex delight put the rhombus calculator here input 1) side length 2) output -- bending measurements and area
Practice Problems
Putting It All Together
STAR is a rhombus. The mensurate of diagonals SA is 24 and the measure of TR is 10, what is the perimeter of this rhombus?
Ask yourself: What is truthful about the angles formed by the diagonals of a rhombus?
What kind of triangle is 
ZTA?
Now, that you lot know the length of TA? How can y'all utilize the fact that the sides of a rhombus are congruent to finish this problem?
Since, all iv sides must be 13.
The perimeter = thirteen + 13 + 13 +13 = 52
Problem 1
If side WX = 22, what is WZ?
Trouble 2
If side MN of rhombus LMNO is X + 5 and side LM is 2x − 9, what must exist the value of x?
Problem 3
What must be the value of ten, if side BA = 5x-11
and side Advertisement = 6x-18?
Since this shape is a rhomb you can gear up any of its sides equal to each other.
Problem 4
Is the iv-sided shape below, MNOP, a rhombus? If not, allocate the shape.
Problem v
What is the mensurate of the following angles in rhombus ABCD?
ACD = 46° ABD = 44°
Problem 6
A generalization well-nigh the angles of a rhombus
You can think of a rhombus equally 4 triangles that are created past the diagonals such equally
What is true virtually the outside angles in each triangle? An examples of outside angles are
Problem 7
What is the value of x if BCA = 3x -2 and ACD = 12 + x ?
Since diagonals bisect vertex angles, 
BCA 
ACD
Problem 8
What is the value of ten, given the bending measurements below?
Problem 9
What is the area of HIJK?
Area = ½(IK × HJ) = ½ (9 × 12) = 54
Source: https://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/rhombus.php
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