## Cos A using Area and Sides B and C of Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2)
cos ∠A = sqrt(1-((2*A)/(Sb*Sc))^2)
This formula uses 1 Functions, 4 Variables
Functions Used
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., sqrt(Number)
Variables Used
Cos A - Cos A is the value of the trigonometric cosine function of the angle A of the triangle.
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.
STEP 1: Convert Input(s) to Base Unit
Area of Triangle: 65 Square Meter --> 65 Square Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cos ∠A = sqrt(1-((2*A)/(Sb*Sc))^2) --> sqrt(1-((2*65)/(14*20))^2)
Evaluating ... ...
cos ∠A = 0.88568548340266
STEP 3: Convert Result to Output's Unit
0.88568548340266 --> No Conversion Required
0.88568548340266 0.885685 <-- Cos A
(Calculation completed in 00.004 seconds)
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## Credits

Created by Surjojoti Som
Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore
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Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal
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## < 18 Trigonometric Ratios using Sides and Area of Triangle Calculators

Tan C using Area and Sides A and B of Triangle
Tan C = -((2*Area of Triangle)/sqrt((Side A of Triangle*Side B of Triangle+2*Area of Triangle)*(Side A of Triangle*Side B of Triangle-2*Area of Triangle)))
Cot C using Area and Sides A and B of Triangle
Cot C = -(sqrt((Side A of Triangle*Side B of Triangle+2*Area of Triangle)*(Side A of Triangle*Side B of Triangle-2*Area of Triangle))/(2*Area of Triangle))
Tan A using Area and Sides B and C of Triangle
Tan A = (2*Area of Triangle)/sqrt((Side B of Triangle*Side C of Triangle+2*Area of Triangle)*(Side B of Triangle*Side C of Triangle-2*Area of Triangle))
Tan B using Area and Sides A and C of Triangle
Tan B = (2*Area of Triangle)/sqrt((Side A of Triangle*Side C of Triangle+2*Area of Triangle)*(Side A of Triangle*Side C of Triangle-2*Area of Triangle))
Cot A using Area and Sides B and C of Triangle
Cot A = sqrt((Side B of Triangle*Side C of Triangle+2*Area of Triangle)*(Side B of Triangle*Side C of Triangle-2*Area of Triangle))/(2*Area of Triangle)
Cot B using Area and Sides A and C of Triangle
Cot B = sqrt((Side A of Triangle*Side C of Triangle+2*Area of Triangle)*(Side A of Triangle*Side C of Triangle-2*Area of Triangle))/(2*Area of Triangle)
Sec C using Area and Sides A and B of Triangle
Sec C = -1/(sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side B of Triangle))^2))
Cos C using Area and Sides A and B of Triangle
Cos C = -(sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side B of Triangle))^2))
Sec A using Area and Sides B and C of Triangle
Sec A = 1/sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2)
Sec B using Area and Sides A and C of Triangle
Sec B = 1/sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side C of Triangle))^2)
Cos A using Area and Sides B and C of Triangle
Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2)
Cos B using Area and Sides A and C of Triangle
Cos B = sqrt(1-((2*Area of Triangle)/(Side A of Triangle*Side C of Triangle))^2)
Cosec A using Area and Sides B and C of Triangle
Cosec A = (Side B of Triangle*Side C of Triangle)/(2*Area of Triangle)
Cosec B using Area and Sides A and C of Triangle
Cosec B = (Side A of Triangle*Side C of Triangle)/(2*Area of Triangle)
Cosec C using Area and Sides A and B of Triangle
Cosec C = (Side A of Triangle*Side B of Triangle)/(2*Area of Triangle)
Sin B using Area and Sides A and C of Triangle
Sin B = (2*Area of Triangle)/(Side A of Triangle*Side C of Triangle)
Sin A using Area and Sides B and C of Triangle
Sin A = (2*Area of Triangle)/(Side B of Triangle*Side C of Triangle)
Sin C using Area and Sides A and B of Triangle
Sin C = (2*Area of Triangle)/(Side A of Triangle*Side B of Triangle)

## Cos A using Area and Sides B and C of Triangle Formula

Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2)
cos ∠A = sqrt(1-((2*A)/(Sb*Sc))^2)

## What is a Triangle ?

A Triangle is a 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 Cos A using Area and Sides B and C of Triangle?

Cos A using Area and Sides B and C of Triangle calculator uses Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2) to calculate the Cos A, The Cos A using Area and Sides B and C of Triangle formula is defined as value of cos A using area and the sides B and C of the triangle. Cos A is denoted by cos ∠A symbol.

How to calculate Cos A using Area and Sides B and C of Triangle using this online calculator? To use this online calculator for Cos A using Area and Sides B and C of Triangle, enter Area of Triangle (A), Side B of Triangle (Sb) & Side C of Triangle (Sc) and hit the calculate button. Here is how the Cos A using Area and Sides B and C of Triangle calculation can be explained with given input values -> 0.885685 = sqrt(1-((2*65)/(14*20))^2).

### FAQ

What is Cos A using Area and Sides B and C of Triangle?
The Cos A using Area and Sides B and C of Triangle formula is defined as value of cos A using area and the sides B and C of the triangle and is represented as cos ∠A = sqrt(1-((2*A)/(Sb*Sc))^2) or Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2). The Area of Triangle is the amount of region or space occupied by the 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 & 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.
How to calculate Cos A using Area and Sides B and C of Triangle?
The Cos A using Area and Sides B and C of Triangle formula is defined as value of cos A using area and the sides B and C of the triangle is calculated using Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2). To calculate Cos A using Area and Sides B and C of Triangle, you need Area of Triangle (A), Side B of Triangle (Sb) & Side C of Triangle (Sc). With our tool, you need to enter the respective value for Area of Triangle, Side B of Triangle & Side C of Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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