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Side B of Triangle Formula

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The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B. Check FAQs

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

S_b - Side B of Triangle?S_a - Side A of Triangle?S_c - Side C of Triangle?∠B - Angle B of Triangle?

Side B of Triangle Example

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Here is how the Side B of Triangle equation looks like with Values.

Here is how the Side B of Triangle equation looks like with Units.

Here is how the Side B of Triangle equation looks like.

13.9134 = \sqrt{10^{2} + 20^{2} - 2 \cdot 10 \cdot 20 \cdot \cos (40)}

13.9134m = \sqrt{{10m}^{2} + {20m}^{2} - 2 \cdot 10m \cdot 20m \cdot \cos (40°)}

13.9134 = \sqrt{10^{2} + 20^{2} - 2 \cdot 10 \cdot 20 \cdot \cos (40)}

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Side B of Triangle Solution

Follow our step by step solution on how to calculate Side B of Triangle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S b = \sqrt{{10m}^{2} + {20m}^{2} - 2 \cdot 10m \cdot 20m \cdot \cos (40°)}

Next Step Convert Units

∴

S b = \sqrt{{10m}^{2} + {20m}^{2} - 2 \cdot 10m \cdot 20m \cdot \cos (0.6981rad)}

Next Step Prepare to Evaluate

∴

S b = \sqrt{10^{2} + 20^{2} - 2 \cdot 10 \cdot 20 \cdot \cos (0.6981)}

Next Step Evaluate

∴

S b = 13.9133828651545m

LAST Step Rounding Answer

∴

S b = 13.9134m

Side B of Triangle Formula Elements

Variables

Functions

Side B of Triangle

The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Triangle

Side A of Triangle

The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Triangle

Side C of Triangle

The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Triangle

Angle B of Triangle

Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle.

Symbol: ∠B

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle B of Triangle

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 in Side of Triangle category

Go Side A of Triangle

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

Go Side C of Triangle

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

Go Side A of Triangle given Two Angles and Side B

S a = S b \cdot \frac{\sin (∠A)}{\sin (∠B)}

How to Evaluate Side B of Triangle?

Side B of Triangle evaluator uses Side B of Triangle = sqrt(Side A of Triangle^2+Side C of Triangle^2-2*Side A of Triangle*Side C of Triangle*cos(Angle B of Triangle)) to evaluate the Side B of Triangle, Side B of Triangle is one of the three sides of the Triangle, calculated using the other 2 sides and angle B. Side B of Triangle is denoted by S_b symbol.

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

FAQs on Side B of Triangle

What is the formula to find Side B of Triangle?

The formula of Side B of Triangle is expressed as Side B of Triangle = sqrt(Side A of Triangle^2+Side C of Triangle^2-2*Side A of Triangle*Side C of Triangle*cos(Angle B of Triangle)). Here is an example- 13.91338 = sqrt(10^2+20^2-2*10*20*cos(0.698131700797601)).

How to calculate Side B of Triangle?

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

Can the Side B of Triangle be negative?

No, the Side B of Triangle, measured in Length cannot be negative.

Which unit is used to measure Side B of Triangle?

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

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Side B of Triangle Formula

Side B of Triangle Example

Side B of Triangle Solution

Side B of Triangle Formula Elements

Other formulas in Side of Triangle category

How to Evaluate Side B of Triangle?

FAQs on Side B of Triangle

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