Sin 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%

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

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Formula

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Sin C using Area and Sides A and B of Triangle

Formula

`"sin C" = (2*"A")/("S"_{"a"}*"S"_{"b"})`

Example

`"0.928571"=(2*"65m²")/("10m"*"14m")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Sin C = (2*Area of Triangle)/(Side A of Triangle*Side B of Triangle)
sin C = (2*A)/(S_a*S_b)
This formula uses 4 Variables

Variables Used

Sin C - Sin C is the value of the trigonometric sine 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

sin C = (2*A)/(S_a*S_b) --> (2*65)/(10*14)

Evaluating ... ...

sin C = 0.928571428571429

STEP 3: Convert Result to Output's Unit

0.928571428571429 --> No Conversion Required

FINAL ANSWER

0.928571428571429 ≈ 0.928571 <-- Sin C

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Trigonometric Ratios using Sides and Area of Triangle » Sin 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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< 3 Trigonometric Ratios using Sides and Area of Triangle Calculators

Sin B using Area and Sides A and C of Triangle

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

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

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

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

Sin C = (2*Area of Triangle)/(Side A of Triangle*Side B of Triangle)
sin C = (2*A)/(S_a*S_b)

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

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

How to calculate Sin C using Area and Sides A and B of Triangle using this online calculator? To use this online calculator for Sin 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 Sin C using Area and Sides A and B of Triangle calculation can be explained with given input values -> 0.928571 = (2*65)/(10*14).

FAQ

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

The Sin C using Area and Sides A and B of Triangle formula is defined as value of sin C using area and the sides A and B of the triangle and is represented as sin C = (2*A)/(S_a*S_b) or Sin C = (2*Area of Triangle)/(Side A of Triangle*Side B 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 Sin C using Area and Sides A and B of Triangle?

The Sin C using Area and Sides A and B of Triangle formula is defined as value of sin C using area and the sides A and B of the triangle is calculated using Sin C = (2*Area of Triangle)/(Side A of Triangle*Side B of Triangle). To calculate Sin 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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