Tan C using Area and Sides A and B 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 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%

✖Tan C is the value of the trigonometric tangent function of the angle C of the triangle.ⓘ Tan C using Area and Sides A and B of Triangle

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Tan C using Area and Sides A and B of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
tan C = -((2*A)/sqrt((S_a*S_b+2*A)*(S_a*S_b-2*A)))
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

Tan C - Tan C is the value of the trigonometric tangent function of the angle C 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 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.

STEP 1: Convert Input(s) to Base Unit

Area of Triangle: 65 Square Meter --> 65 Square Meter No Conversion Required
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

tan C = -((2*A)/sqrt((S_a*S_b+2*A)*(S_a*S_b-2*A))) --> -((2*65)/sqrt((10*14+2*65)*(10*14-2*65)))

Evaluating ... ...

tan C = -2.50185116648838

STEP 3: Convert Result to Output's Unit

-2.50185116648838 --> No Conversion Required

FINAL ANSWER

-2.50185116648838 ≈ -2.501851 <-- Tan C

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Trigonometric Ratios using Sides and Area of Triangle » Tan C using Area and Sides A and B of Triangle

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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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)

Tan C using Area and Sides A and B of Triangle Formula

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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 Tan C using Area and Sides A and B of Triangle?

Tan C using Area and Sides A and B of Triangle calculator uses 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))) to calculate the Tan C, The Tan C using Area and Sides A and B of Triangle formula is defined as value of tan C using area and the sides A and B of the triangle. Tan C is denoted by tan C symbol.

How to calculate Tan C using Area and Sides A and B of Triangle using this online calculator? To use this online calculator for Tan C using Area and Sides A and B of Triangle, enter Area of Triangle (A), Side A of Triangle (S_a) & Side B of Triangle (S_b) and hit the calculate button. Here is how the Tan C using Area and Sides A and B of Triangle calculation can be explained with given input values -> -2.501851 = -((2*65)/sqrt((10*14+2*65)*(10*14-2*65))).

FAQ

What is Tan C using Area and Sides A and B of Triangle?

The Tan C using Area and Sides A and B of Triangle formula is defined as value of tan C using area and the sides A and B of the triangle and is represented as tan C = -((2*A)/sqrt((S_a*S_b+2*A)*(S_a*S_b-2*A))) or 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))). The Area of Triangle is the amount of region or space occupied by the 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 & 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.

How to calculate Tan C using Area and Sides A and B of Triangle?

The Tan C using Area and Sides A and B of Triangle formula is defined as value of tan C using area and the sides A and B of the triangle is calculated using 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))). To calculate Tan C using Area and Sides A and B of Triangle, you need Area of Triangle (A), Side A of Triangle (S_a) & Side B of Triangle (S_b). With our tool, you need to enter the respective value for Area of Triangle, Side A of Triangle & Side B 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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