Given that concave quadrilateral PQRS is similar to Quad. LMNO, what is the value of x.

Rhombus Figurer

This rhombus calculator tin help yous find the side, area, perimeter, diagonals, acme and any unknown angles of a rhombus if you know 2 dimensions.

What is a rhombus?

A rhombus refers to a quadrilateral having 2 simultaneous characteristics: sides are all equal AND the contrary sides are parallel. Please note that a rhombus having 4 correct angles is actually a square.

How does this rhombus calculator work?

Depending on the figures yous know this rhomb estimator can perform the following calculations:

■ If Angle (A) is given and so the other iii angles will exist computed:

B = 180° - A

C = A

D = B

■ The same goes in case Angle (B) is given:

A = 180° - B

C = A

D = B

■ If side (a) is available so the perimeter (P) will be calculated:

P = 4a

■ On the other paw if the perimeter (P) is given the side (a) tin be obtained from it by this formula:

a = P / 4

■ When side (a) and angle (A) are provided the figures that can be computed are: perimeter (P), 2 diagonals (p and q), height (h), area (South_A) and the other three angles (B, C and D):

P = 4a

S_A = ah

h = a*sin(A)

p = √(2a² - 2a^two*cos(A))

q = √(2a²+ 2a²*cos(A))

B = 180° - A

C = A

D = B

■ If side (a) and diagonal (p) are known and so the other dimensions that can exist estimated are the perimeter (P), height (h), diagonal (q), area (S_A) and all angles (A, B, C and D):

P = 4a

Southward_A = a^two*sin(A)

q = √(2aⁱⁱ + 2a²*cos(A))

h = a*sin(A)

A = arccos(ane - (p² / 2a^two))

B = 180° - A

C = A

D = B

■ In example side (a) and diagonal (q) are the variables known and then the perimeter (P), height (h), diagonal (p), area (S_A) and all the four angles (A, B, C and D) can exist constitute:

P = 4a

Due south_A = a²*sin(A)

p = √(2a^two - 2a²*cos(A))

h = a*sin(A)

A = arccos(1 + (q^two / 2a²))

B = 180° - A

C = A

D = B

■ When side (a) and summit (h) are given the perimeter (P), diagonals (p and q), area (S_A) and the angles tin can be calculated:

P = 4a

Southward_A = a²*sin(A)

p = √(2a² - 2aⁱⁱ*cos(A))

q = √(2a² + 2a^two*cos(A))

A = arcsin(h/a)

B = 180° - A

C = A

D = B

■ If side (a) and area (S_A) are known the perimeter (P), diagonals (p and q), tiptop and all the angles A, B, C and D can be determined:

P = 4a

p = √(2a² - 2a²*cos(A))

q = √(2a² + 2a²*cos(A))

h = a*sin(A)

A = arcsin(South_A/a²)

B = 180° - A

C = A

D = B

■ In case expanse (Due south_A) and height (h) are the variables known the perimeter (P), side length (a), diagonals (p and q) and all the angles (A, B, C and D) can be computed:

a = S_A / h

P = 4a

p = √(2a^two - 2a²*cos(A))

q = √(2a² + 2a²*cos(A))

A = arcsin(Due south_A/a²)

B = 180° - A

C = A

D = B

■ When area (S_A) and diagonal (p) are provided the perimeter (P), side length (a), height (h), diagonal (q) and all the angles (A, B, C and D) can be calculated:

a = √(p² + q²) / 2

P = 4a

q = 2S_A / p

h = a*sin(A)

A = arccos(i - (p^two / 2a²))

B = 180° - A

C = A

D = B

■ If surface area (Due south_A) and diagonal (q) are given the side length (a), height (h), perimeter (P), diagonal (p) and the angles (from A to D) can be estimated:

a = √(p² + qⁱⁱ) / 2

P = 4a

p = 2S_A / q

h = a*sin(A)

A = arccos(1 + (q² / 2a²))

B = 180° - A

C = A

D = B

■ Finally, if the bending (A) and the height (h) are provided then the side length (a), perimeter (P), diagonal (p and q), area (Due south_A) and all the other 3 angles (B, C and D) can exist obtained:

a = h / sin(A)

P = 4a

p = √(2a² - 2a²*cos(A))

q = √(2aⁱⁱ + 2a²*cos(A))

S_A = a²*sin(A)

B = 180° - A

C = A

D = B

xi Aug, 2015

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Source: https://www.thecalculator.co/math/Rhombus-Calculator-763.html

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