Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) Calculator

✖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.ⓘ Side A of Triangle [S_a]			+10% -10%
✖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.ⓘ Side B of Triangle [S_b]			+10% -10%
✖Sin (C/2) is the value of the trigonometric sine function of half of the given angle C of the triangle.ⓘ Sin (C/2) [sin_(C/2)]			+10% -10%
✖Cos (C/2) is the value of the trigonometric cosine function of half of the given angle C of the triangle.ⓘ Cos (C/2) [cos_(C/2)]			+10% -10%

✖The Area of Triangle is the amount of region or space occupied by the Triangle.ⓘ Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) [A]

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Formula

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Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2)

Formula

`"A" = "S"_{"a"}*"S"_{"b"}*"sin"_{"(C/2)"}*"cos"_{"(C/2)"}`

Example

`"65.436m²"="10m"*"14m"*"0.82"*"0.57"`

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Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Triangle = Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2)
A = S_a*S_b*sin_(C/2)*cos_(C/2)
This formula uses 5 Variables

Variables Used

Area of Triangle - (Measured in Square Meter) - The Area of Triangle is the amount of region or space occupied by the Triangle.
Side A of Triangle - (Measured in Meter) - 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.
Side B of Triangle - (Measured in Meter) - 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.
Sin (C/2) - Sin (C/2) is the value of the trigonometric sine function of half of the given angle C of the triangle.
Cos (C/2) - Cos (C/2) is the value of the trigonometric cosine function of half of the given angle C of the triangle.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Sin (C/2): 0.82 --> No Conversion Required
Cos (C/2): 0.57 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = S_a*S_b*sin_(C/2)*cos_(C/2) --> 10*14*0.82*0.57

Evaluating ... ...

A = 65.436

STEP 3: Convert Result to Output's Unit

65.436 Square Meter --> No Conversion Required

FINAL ANSWER

65.436 Square Meter <-- Area of Triangle

(Calculation completed in 00.020 seconds)

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< 3 Area of Triangle using Trigonometric Ratios of Half Angles Calculators

Area of Triangle using Sides B, C and Sin (A/2) and Cos (A/2)

Go Area of Triangle = Side B of Triangle*Side C of Triangle*Sin (A/2)*Cos (A/2)

Area of Triangle using Sides A, C and Sin (B/2) and Cos (B/2)

Go Area of Triangle = Side C of Triangle*Side A of Triangle*Sin (B/2)*Cos (B/2)

Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2)

Go Area of Triangle = Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2)

Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) Formula

Area of Triangle = Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2)
A = S_a*S_b*sin_(C/2)*cos_(C/2)

What is a Triangle?

The Triangle is the type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

How to Calculate Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2)?

Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) calculator uses Area of Triangle = Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2) to calculate the Area of Triangle, The Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) formula is defined as the value of the area of the triangle using the sides A & B and the trigonometric half ratios Sin C/2 and Cos C/2. Area of Triangle is denoted by A symbol.

How to calculate Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) using this online calculator? To use this online calculator for Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2), enter Side A of Triangle (S_a), Side B of Triangle (S_b), Sin (C/2) (sin_(C/2)) & Cos (C/2) (cos_(C/2)) and hit the calculate button. Here is how the Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) calculation can be explained with given input values -> 65.436 = 10*14*0.82*0.57.

FAQ

What is Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2)?

The Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) formula is defined as the value of the area of the triangle using the sides A & B and the trigonometric half ratios Sin C/2 and Cos C/2 and is represented as A = S_a*S_b*sin_(C/2)*cos_(C/2) or Area of Triangle = Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2). 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, 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, Sin (C/2) is the value of the trigonometric sine function of half of the given angle C of the triangle & Cos (C/2) is the value of the trigonometric cosine function of half of the given angle C of the triangle.

How to calculate Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2)?

The Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2) formula is defined as the value of the area of the triangle using the sides A & B and the trigonometric half ratios Sin C/2 and Cos C/2 is calculated using Area of Triangle = Side A of Triangle*Side B of Triangle*Sin (C/2)*Cos (C/2). To calculate Area of Triangle using Sides A, B and Sin (C/2) and Cos (C/2), you need Side A of Triangle (S_a), Side B of Triangle (S_b), Sin (C/2) (sin_(C/2)) & Cos (C/2) (cos_(C/2)). With our tool, you need to enter the respective value for Side A of Triangle, Side B of Triangle, Sin (C/2) & Cos (C/2) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Triangle?

In this formula, Area of Triangle uses Side A of Triangle, Side B of Triangle, Sin (C/2) & Cos (C/2). We can use 4 other way(s) to calculate the same, which is/are as follows -

Area of Triangle = Side B of Triangle*Side C of Triangle*Sin (A/2)*Cos (A/2)
Area of Triangle = Side C of Triangle*Side A of Triangle*Sin (B/2)*Cos (B/2)
Area of Triangle = (Side A of Triangle*Side B of Triangle)/(Cosec (C/2)*Sec (C/2))
Area of Triangle = (Side B of Triangle*Side C of Triangle)/(Cosec (A/2)*Sec (A/2))

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