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

✖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%
✖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.ⓘ Side C of Triangle [S_c]			+10% -10%
✖Sin (A/2) is the value of the trigonometric sine function of half of the given angle A of the triangle.ⓘ Sin (A/2) [sin_(A/2)]			+10% -10%
✖Tan (A/2) is the value of the trigonometric tangent function of half of the given angle A of the triangle.ⓘ Tan (A/2) [tan_(A/2)]			+10% -10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Triangle Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Area of Triangle = (Side B of Triangle*Side C of Triangle*Sin (A/2)^2)/Tan (A/2)
A = (S_b*S_c*sin_(A/2)^2)/tan_(A/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 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.
Side C of Triangle - (Measured in Meter) - 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.
Sin (A/2) - Sin (A/2) is the value of the trigonometric sine function of half of the given angle A of the triangle.
Tan (A/2) - Tan (A/2) is the value of the trigonometric tangent function of half of the given angle A of the triangle.

STEP 1: Convert Input(s) to Base Unit

Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Sin (A/2): 0.25 --> No Conversion Required
Tan (A/2): 0.26 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (S_b*S_c*sin_(A/2)^2)/tan_(A/2) --> (14*20*0.25^2)/0.26

Evaluating ... ...

A = 67.3076923076923

STEP 3: Convert Result to Output's Unit

67.3076923076923 Square Meter --> No Conversion Required

FINAL ANSWER

67.3076923076923 ≈ 67.30769 Square Meter <-- Area of Triangle

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Triangle » Area of Triangle using Trigonometric Ratios of Half Angles » Area of Triangle using Sides B, C and Sin (A/2) and Tan (A/2)

Credits

Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

Surjojoti Som has created this Calculator and 200+ more calculators!

Verified by Harsh Raj

Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal

Harsh Raj has verified this Calculator and 100+ more calculators!

< Area of Triangle using Trigonometric Ratios of Half Angles Calculators

Area of Triangle using Sides A, B and Cosec (C/2) and Sec (C/2)

LaTeX Go Area of Triangle = (Side A of Triangle*Side B of Triangle)/(Cosec (C/2)*Sec (C/2))

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

LaTeX 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)

LaTeX 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)

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

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

LaTeX Go

Area of Triangle = (Side B of Triangle*Side C of Triangle*Sin (A/2)^2)/Tan (A/2)
A = (S_b*S_c*sin_(A/2)^2)/tan_(A/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 B, C and Sin (A/2) and Tan (A/2)?

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

How to calculate Area of Triangle using Sides B, C and Sin (A/2) and Tan (A/2) using this online calculator? To use this online calculator for Area of Triangle using Sides B, C and Sin (A/2) and Tan (A/2), enter Side B of Triangle (S_b), Side C of Triangle (S_c), Sin (A/2) (sin_(A/2)) & Tan (A/2) (tan_(A/2)) and hit the calculate button. Here is how the Area of Triangle using Sides B, C and Sin (A/2) and Tan (A/2) calculation can be explained with given input values -> 67.30769 = (14*20*0.25^2)/0.26.

FAQ

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

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

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

The Area of Triangle using Sides B, C and Sin (A/2) and Tan (A/2) formula is defined as the value of the area of the triangle using the sides B & C and the trigonometric half ratios Sin A/2 and Tan A/2 is calculated using Area of Triangle = (Side B of Triangle*Side C of Triangle*Sin (A/2)^2)/Tan (A/2). To calculate Area of Triangle using Sides B, C and Sin (A/2) and Tan (A/2), you need Side B of Triangle (S_b), Side C of Triangle (S_c), Sin (A/2) (sin_(A/2)) & Tan (A/2) (tan_(A/2)). With our tool, you need to enter the respective value for Side B of Triangle, Side C of Triangle, Sin (A/2) & Tan (A/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 B of Triangle, Side C of Triangle, Sin (A/2) & Tan (A/2). We can use 3 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*Sin (C/2)*Cos (C/2)

Home

FREE PDFs

🔍 Search