Cos A using Area and Sides B and C of Triangle Calculator

✖The Area of Triangle is the amount of region or space occupied by the Triangle.ⓘ Area of Triangle [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%
✖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%

✖Cos A is the value of the trigonometric cosine function of the angle A of the triangle.ⓘ Cos A using Area and Sides B and C of Triangle [cos ∠A]

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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)/(S_b*S_c))^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)/(S_b*S_c))^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

FINAL ANSWER

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

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

Verified by Harsh Raj

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

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< Trigonometric Ratios using Sides and Area of Triangle Calculators

Cosec A using Area and Sides B and C of Triangle

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

Sin B using Area and Sides A and C of Triangle

LaTeX Go 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

LaTeX Go 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

LaTeX Go 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

LaTeX Go

Cos A = sqrt(1-((2*Area of Triangle)/(Side B of Triangle*Side C of Triangle))^2)
cos ∠A = sqrt(1-((2*A)/(S_b*S_c))^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 (S_b) & Side C of Triangle (S_c) 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)/(S_b*S_c))^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 (S_b) & Side C of Triangle (S_c). 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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