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

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Formula

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

Formula

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

Example

`"13.26531m"=(2*"65m²")/("20m"*"0.49")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Area of Triangle - (Measured in Square Meter) - The Area of Triangle is the amount of region or space occupied by the Triangle.
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.
Sin A - Sin A is the value of the trigonometric sine function of the angle A of the triangle.

STEP 1: Convert Input(s) to Base Unit

Area of Triangle: 65 Square Meter --> 65 Square Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Sin A: 0.49 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_b = (2*A)/(S_c*sin A) --> (2*65)/(20*0.49)

Evaluating ... ...

S_b = 13.265306122449

STEP 3: Convert Result to Output's Unit

13.265306122449 Meter --> No Conversion Required

FINAL ANSWER

13.265306122449 ≈ 13.26531 Meter <-- Side B 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 B of Triangle given Side C , Sin A and Area of Triangle Formula

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

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

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

How to calculate Side B of Triangle given Side C , Sin A and Area of Triangle using this online calculator? To use this online calculator for Side B of Triangle given Side C , Sin A and Area of Triangle, enter Area of Triangle (A), Side C of Triangle (S_c) & Sin A (sin A) and hit the calculate button. Here is how the Side B of Triangle given Side C , Sin A and Area of Triangle calculation can be explained with given input values -> 13.26531 = (2*65)/(20*0.49).

FAQ

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

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

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

The Side B of Triangle given Side C , Sin A and Area of Triangle formula is defined as value of side B using area, side C and sin of angle A of the triangle is calculated using Side B of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin A). To calculate Side B of Triangle given Side C , Sin A and Area of Triangle, you need Area of Triangle (A), Side C of Triangle (S_c) & Sin A (sin A). With our tool, you need to enter the respective value for Area of Triangle, Side C of Triangle & Sin A 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 B of Triangle?

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

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

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