Tan 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%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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 ∠A = (2*A)/sqrt((S_b*S_c+2*A)*(S_b*S_c-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 A - Tan A is the value of the trigonometric tangent 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

tan ∠A = (2*A)/sqrt((S_b*S_c+2*A)*(S_b*S_c-2*A)) --> (2*65)/sqrt((14*20+2*65)*(14*20-2*65))

Evaluating ... ...

tan ∠A = 0.524210595054583

STEP 3: Convert Result to Output's Unit

0.524210595054583 --> No Conversion Required

FINAL ANSWER

0.524210595054583 ≈ 0.524211 <-- Tan A

(Calculation completed in 00.004 seconds)

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

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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)

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

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

How to calculate Tan A using Area and Sides B and C of Triangle using this online calculator? To use this online calculator for Tan 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 Tan A using Area and Sides B and C of Triangle calculation can be explained with given input values -> 0.524211 = (2*65)/sqrt((14*20+2*65)*(14*20-2*65)).

FAQ

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

The Tan A using Area and Sides B and C of Triangle formula is defined as value of tan A using area and the sides B and C of the triangle and is represented as tan ∠A = (2*A)/sqrt((S_b*S_c+2*A)*(S_b*S_c-2*A)) or 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)). 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 Tan A using Area and Sides B and C of Triangle?

The Tan A using Area and Sides B and C of Triangle formula is defined as value of tan A using area and the sides B and C of the triangle is calculated using 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)). To calculate Tan 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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