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Diagonal 1 of Quadrilateral Formula

GoDiagonal 1 of Quadrilateral given Area and Heights of Columns Formula

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A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral. Check FAQs

d 1 = \sqrt{{S a}^{2} + {S b}^{2} - (2 \cdot S a \cdot S b \cdot \cos (∠B))}

d₁ - Diagonal 1 of Quadrilateral?S_a - Side A of Quadrilateral?S_b - Side B of Quadrilateral?∠B - Angle B of Quadrilateral?

Diagonal 1 of Quadrilateral Example

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Here is how the Diagonal 1 of Quadrilateral equation looks like with Values.

Here is how the Diagonal 1 of Quadrilateral equation looks like with Units.

Here is how the Diagonal 1 of Quadrilateral equation looks like.

10.9287 = \sqrt{10^{2} + 9^{2} - (2 \cdot 10 \cdot 9 \cdot \cos (70))}

10.9287m = \sqrt{{10m}^{2} + {9m}^{2} - (2 \cdot 10m \cdot 9m \cdot \cos (70°))}

10.9287 = \sqrt{10^{2} + 9^{2} - (2 \cdot 10 \cdot 9 \cdot \cos (70))}

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Diagonal 1 of Quadrilateral Solution

Follow our step by step solution on how to calculate Diagonal 1 of Quadrilateral?

FIRST Step Consider the formula

d 1 = \sqrt{{S a}^{2} + {S b}^{2} - (2 \cdot S a \cdot S b \cdot \cos (∠B))}

Next Step Substitute values of Variables

∴

d 1 = \sqrt{{10m}^{2} + {9m}^{2} - (2 \cdot 10m \cdot 9m \cdot \cos (70°))}

Next Step Convert Units

∴

d 1 = \sqrt{{10m}^{2} + {9m}^{2} - (2 \cdot 10m \cdot 9m \cdot \cos (1.2217rad))}

Next Step Prepare to Evaluate

∴

d 1 = \sqrt{10^{2} + 9^{2} - (2 \cdot 10 \cdot 9 \cdot \cos (1.2217))}

Next Step Evaluate

∴

d 1 = 10.9286949907727m

LAST Step Rounding Answer

∴

d 1 = 10.9287m

Diagonal 1 of Quadrilateral Formula Elements

Variables

Functions

Diagonal 1 of Quadrilateral

A Diagonal 1 of Quadrilateral is a straight line joining two opposite corners of the Quadrilateral.

Symbol: d₁

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal 1 of Quadrilateral

Side A of Quadrilateral

Side A of Quadrilateral is the measure of the length of the Side A of the Quadrilateral.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Quadrilateral

Side B of Quadrilateral

Side B of Quadrilateral is the measure of the length of the side B of the Quadrilateral.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Quadrilateral

Angle B of Quadrilateral

Angle B of Quadrilateral is the space between two intersecting lines (side a and side b) or surfaces at or close to the point where they meet.

Symbol: ∠B

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle B of Quadrilateral

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diagonal 1 of Quadrilateral

Go Diagonal 1 of Quadrilateral given Area and Heights of Columns

d 1 = 2 \cdot \frac{A}{h 1 + h 2}

Other formulas in Diagonals of Quadrilateral category

Go Diagonal 2 of Quadrilateral

d 2 = \sqrt{{S b}^{2} + {S c}^{2} - (2 \cdot S b \cdot S c \cdot \cos (∠C))}

How to Evaluate Diagonal 1 of Quadrilateral?

Diagonal 1 of Quadrilateral evaluator uses Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral))) to evaluate the Diagonal 1 of Quadrilateral, The Diagonal 1 of Quadrilateral formula is defined as the length of the straight line joining opposite vertices ( Angle A and Angle C) of the Quadrilateral. Diagonal 1 of Quadrilateral is denoted by d₁ symbol.

How to evaluate Diagonal 1 of Quadrilateral using this online evaluator? To use this online evaluator for Diagonal 1 of Quadrilateral, enter Side A of Quadrilateral (S_a), Side B of Quadrilateral (S_b) & Angle B of Quadrilateral (∠B) and hit the calculate button.

FAQs on Diagonal 1 of Quadrilateral

What is the formula to find Diagonal 1 of Quadrilateral?

The formula of Diagonal 1 of Quadrilateral is expressed as Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral))). Here is an example- 10.92869 = sqrt(10^2+9^2-(2*10*9*cos(1.2217304763958))).

How to calculate Diagonal 1 of Quadrilateral?

With Side A of Quadrilateral (S_a), Side B of Quadrilateral (S_b) & Angle B of Quadrilateral (∠B) we can find Diagonal 1 of Quadrilateral using the formula - Diagonal 1 of Quadrilateral = sqrt(Side A of Quadrilateral^2+Side B of Quadrilateral^2-(2*Side A of Quadrilateral*Side B of Quadrilateral*cos(Angle B of Quadrilateral))). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal 1 of Quadrilateral?

Here are the different ways to Calculate Diagonal 1 of Quadrilateral-

Diagonal 1 of Quadrilateral=2*Area of Quadrilateral/(Height of Column 1 of Quadrilateral+Height of Column 2 of Quadrilateral)

Can the Diagonal 1 of Quadrilateral be negative?

No, the Diagonal 1 of Quadrilateral, measured in Length cannot be negative.

Which unit is used to measure Diagonal 1 of Quadrilateral?

Diagonal 1 of Quadrilateral is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diagonal 1 of Quadrilateral can be measured.

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Diagonal 1 of Quadrilateral Formula

​GoDiagonal 1 of Quadrilateral given Area and Heights of Columns Formula

Diagonal 1 of Quadrilateral Example

Diagonal 1 of Quadrilateral Solution

Diagonal 1 of Quadrilateral Formula Elements

Other Formulas to find Diagonal 1 of Quadrilateral

Other formulas in Diagonals of Quadrilateral category

How to Evaluate Diagonal 1 of Quadrilateral?

FAQs on Diagonal 1 of Quadrilateral

Variable Name

GoDiagonal 1 of Quadrilateral given Area and Heights of Columns Formula