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Area of Triangle given Two Sides and Third Angle Formula

GoArea of Triangle Formula

GoArea of Triangle given Inradius and Semiperimeter Formula

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The Area of Triangle is the amount of region or space occupied by the Triangle. Check FAQs

A = S a \cdot S b \cdot \frac{\sin (∠C)}{2}

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

Area of Triangle given Two Sides and Third Angle Example

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Here is how the Area of Triangle given Two Sides and Third Angle equation looks like with Values.

Here is how the Area of Triangle given Two Sides and Third Angle equation looks like with Units.

Here is how the Area of Triangle given Two Sides and Third Angle equation looks like.

65.7785 = 10 \cdot 14 \cdot \frac{\sin (110)}{2}

65.7785m² = 10m \cdot 14m \cdot \frac{\sin (110°)}{2}

65.7785 = 10 \cdot 14 \cdot \frac{\sin (110)}{2}

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Area of Triangle given Two Sides and Third Angle Solution

Follow our step by step solution on how to calculate Area of Triangle given Two Sides and Third Angle?

FIRST Step Consider the formula

A = S a \cdot S b \cdot \frac{\sin (∠C)}{2}

Next Step Substitute values of Variables

∴

A = 10m \cdot 14m \cdot \frac{\sin (110°)}{2}

Next Step Convert Units

∴

A = 10m \cdot 14m \cdot \frac{\sin (1.9199rad)}{2}

Next Step Prepare to Evaluate

∴

A = 10 \cdot 14 \cdot \frac{\sin (1.9199)}{2}

Next Step Evaluate

∴

A = 65.7784834550223m²

LAST Step Rounding Answer

∴

A = 65.7785m²

Area of Triangle given Two Sides and Third Angle Formula Elements

Variables

Functions

Area of Triangle

The Area of Triangle is the amount of region or space occupied by the Triangle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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 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

Angle C of Triangle

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

Symbol: ∠C

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle C of Triangle

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Area of Triangle

Go Area of Triangle

A = \frac{\sqrt{(S a + S b + S c) \cdot (S b + S c - S a) \cdot (S a - S b + S c) \cdot (S a + S b - S c)}}{4}

Go Area of Triangle given Inradius and Semiperimeter

A = r i \cdot s

Go Area of Triangle given Two Angles and Third Side

A = \frac{{S a}^{2} \cdot \sin (∠B) \cdot \sin (∠C)}{2 \cdot \sin (π - ∠B - ∠C)}

Go Area of Triangle by Heron's Formula

A = \sqrt{s \cdot (s - S a) \cdot (s - S b) \cdot (s - S c)}

How to Evaluate Area of Triangle given Two Sides and Third Angle?

Area of Triangle given Two Sides and Third Angle evaluator uses Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2 to evaluate the Area of Triangle, The Area of Triangle given Two Sides and Third Angle formula is defined as the region occupied inside the triangle, calculated using its two sides and one angle. Area of Triangle is denoted by A symbol.

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

FAQs on Area of Triangle given Two Sides and Third Angle

What is the formula to find Area of Triangle given Two Sides and Third Angle?

The formula of Area of Triangle given Two Sides and Third Angle is expressed as Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2. Here is an example- 65.77848 = 10*14*sin(1.9198621771934)/2.

How to calculate Area of Triangle given Two Sides and Third Angle?

With Side A of Triangle (S_a), Side B of Triangle (S_b) & Angle C of Triangle (∠C) we can find Area of Triangle given Two Sides and Third Angle using the formula - Area of Triangle = Side A of Triangle*Side B of Triangle*sin(Angle C of Triangle)/2. This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Area of Triangle?

Here are the different ways to Calculate Area of Triangle-

Area of Triangle=sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle+Side C of Triangle-Side A of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/4
Area of Triangle=Inradius of Triangle*Semiperimeter of Triangle
Area of Triangle=(Side A of Triangle^2*sin(Angle B of Triangle)*sin(Angle C of Triangle))/(2*sin(pi-Angle B of Triangle-Angle C of Triangle))

Can the Area of Triangle given Two Sides and Third Angle be negative?

No, the Area of Triangle given Two Sides and Third Angle, measured in Area cannot be negative.

Which unit is used to measure Area of Triangle given Two Sides and Third Angle?

Area of Triangle given Two Sides and Third Angle is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Triangle given Two Sides and Third Angle can be measured.

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Area of Triangle given Two Sides and Third Angle Formula

​GoArea of Triangle Formula

​GoArea of Triangle given Inradius and Semiperimeter Formula

Area of Triangle given Two Sides and Third Angle Example

Area of Triangle given Two Sides and Third Angle Solution

Area of Triangle given Two Sides and Third Angle Formula Elements

Other Formulas to find Area of Triangle

How to Evaluate Area of Triangle given Two Sides and Third Angle?

FAQs on Area of Triangle given Two Sides and Third Angle

Variable Name

GoArea of Triangle Formula

GoArea of Triangle given Inradius and Semiperimeter Formula