Side A of Triangle given Side B , Sin C and Area 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%
✖Sin C is the value of the trigonometric sine function of the angle C of the triangle.ⓘ Sin C			+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 given Side B , Sin C and Area of Triangle [S_a]

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Formula

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Side A of Triangle given Side B , Sin C and Area of Triangle

Formula

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

Example

`"9.878419m"=(2*"65m²")/("14m"*"0.94")`

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Side A of Triangle given Side B , Sin C and Area of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Sin C - Sin C is the value of the trigonometric sine function of the angle C of the triangle.

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
Sin C: 0.94 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_a = (2*A)/(S_b*sin C) --> (2*65)/(14*0.94)

Evaluating ... ...

S_a = 9.87841945288754

STEP 3: Convert Result to Output's Unit

9.87841945288754 Meter --> No Conversion Required

FINAL ANSWER

9.87841945288754 ≈ 9.878419 Meter <-- Side A of Triangle

(Calculation completed in 00.004 seconds)

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Created by Surjojoti Som

Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore

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< 15 Side of Triangle Calculators

Side A of Triangle

Go Side A of Triangle = sqrt(Side B of Triangle^2+Side C of Triangle^2-2*Side B of Triangle*Side C of Triangle*cos(Angle A of Triangle))

Side B of Triangle

Go Side B of Triangle = sqrt(Side A of Triangle^2+Side C of Triangle^2-2*Side A of Triangle*Side C of Triangle*cos(Angle B of Triangle))

Side C of Triangle

Go Side C of Triangle = sqrt(Side B of Triangle^2+Side A of Triangle^2-2*Side A of Triangle*Side B of Triangle*cos(Angle C of Triangle))

Side A of Triangle given Two Angles and Side B

Go Side A of Triangle = Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle)

Side B of Triangle given Two Angles and Side A

Go Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of Triangle)

Side C of Triangle given Two Angles and Side B

Go Side C of Triangle = Side B of Triangle*sin(Angle C of Triangle)/sin(Angle B of Triangle)

Side A of Triangle given Two Angles and Side C

Go Side A of Triangle = Side C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle)

Side B of Triangle given Two Angles and Side C

Go Side B of Triangle = Side C of Triangle*sin(Angle B of Triangle)/sin(Angle C of Triangle)

Side C of Triangle given Two Angles and Side A

Go Side C of Triangle = Side A of Triangle*sin(Angle C of Triangle)/sin(Angle A of Triangle)

Side A of Triangle given Side B , Sin C and Area of Triangle

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

Side A of Triangle given Side C , Sin B and Area of Triangle

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

Side B of Triangle given Side C , Sin A and Area of Triangle

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

Side B of Triangle given Side A , Sin C and Area of Triangle

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

Side C of Triangle given Side A , Sin B and Area of Triangle

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

Side C of Triangle given Side B , Sin A and Area of Triangle

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

Side A of Triangle given Side B , Sin C and Area of Triangle Formula

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

What is a Triangle?

The Triangle is the 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 Side A of Triangle given Side B , Sin C and Area of Triangle?

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

How to calculate Side A of Triangle given Side B , Sin C and Area of Triangle using this online calculator? To use this online calculator for Side A of Triangle given Side B , Sin C and Area of Triangle, enter Area of Triangle (A), Side B of Triangle (S_b) & Sin C (sin C) and hit the calculate button. Here is how the Side A of Triangle given Side B , Sin C and Area of Triangle calculation can be explained with given input values -> 9.878419 = (2*65)/(14*0.94).

FAQ

What is Side A of Triangle given Side B , Sin C and Area of Triangle?

The Side A of Triangle given Side B , Sin C and Area of Triangle formula is defined as value of side A using area, side B and sin of angle C of the triangle and is represented as S_a = (2*A)/(S_b*sin C) or Side A of Triangle = (2*Area of Triangle)/(Side B of Triangle*Sin C). 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 & Sin C is the value of the trigonometric sine function of the angle C of the triangle.

How to calculate Side A of Triangle given Side B , Sin C and Area of Triangle?

The Side A of Triangle given Side B , Sin C and Area of Triangle formula is defined as value of side A using area, side B and sin of angle C of the triangle is calculated using Side A of Triangle = (2*Area of Triangle)/(Side B of Triangle*Sin C). To calculate Side A of Triangle given Side B , Sin C and Area of Triangle, you need Area of Triangle (A), Side B of Triangle (S_b) & Sin C (sin C). With our tool, you need to enter the respective value for Area of Triangle, Side B of Triangle & Sin C and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Side A of Triangle?

In this formula, Side A of Triangle uses Area of Triangle, Side B of Triangle & Sin C. We can use 4 other way(s) to calculate the same, which is/are as follows -

Side A of Triangle = sqrt(Side B of Triangle^2+Side C of Triangle^2-2*Side B of Triangle*Side C of Triangle*cos(Angle A of Triangle))
Side A of Triangle = Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle)
Side A of Triangle = Side C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle)
Side A of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin B)

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