Side B of Triangle given Two Angles and Side A Calculator

✖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%
✖Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle.ⓘ Angle B of Triangle [∠B]			+10% -10%
✖Angle A of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to the side A of the Triangle.ⓘ Angle A 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 given Two Angles and Side A [S_b]

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Formula

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Side B of Triangle given Two Angles and Side A

Formula

`"S"_{"b"} = "S"_{"a"}*sin("∠B")/sin("∠A")`

Example

`"12.85575m"="10m"*sin("40°")/sin("30°")`

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Side B of Triangle given Two Angles and Side A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of Triangle)
S_b = S_a*sin(∠B)/sin(∠A)
This formula uses 1 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

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.
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.
Angle B of Triangle - (Measured in Radian) - Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle.
Angle A of Triangle - (Measured in Radian) - Angle A of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to the side A of the Triangle.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Angle B of Triangle: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Angle A of Triangle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_b = S_a*sin(∠B)/sin(∠A) --> 10*sin(0.698131700797601)/sin(0.5235987755982)

Evaluating ... ...

S_b = 12.8557521937288

STEP 3: Convert Result to Output's Unit

12.8557521937288 Meter --> No Conversion Required

FINAL ANSWER

12.8557521937288 ≈ 12.85575 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 Two Angles and Side A Formula

Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of Triangle)
S_b = S_a*sin(∠B)/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 Two Angles and Side A?

Side B of Triangle given Two Angles and Side A calculator uses Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of Triangle) to calculate the Side B of Triangle, The Side B of Triangle given Two Angles and Side A formula is defined as the length of side B using Angle A and B, and side A. Side B of Triangle is denoted by S_b symbol.

How to calculate Side B of Triangle given Two Angles and Side A using this online calculator? To use this online calculator for Side B of Triangle given Two Angles and Side A, enter Side A of Triangle (S_a), Angle B of Triangle (∠B) & Angle A of Triangle (∠A) and hit the calculate button. Here is how the Side B of Triangle given Two Angles and Side A calculation can be explained with given input values -> 12.85575 = 10*sin(0.698131700797601)/sin(0.5235987755982).

FAQ

What is Side B of Triangle given Two Angles and Side A?

The Side B of Triangle given Two Angles and Side A formula is defined as the length of side B using Angle A and B, and side A and is represented as S_b = S_a*sin(∠B)/sin(∠A) or Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of 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, Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle & Angle A of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to the side A of the Triangle.

How to calculate Side B of Triangle given Two Angles and Side A?

The Side B of Triangle given Two Angles and Side A formula is defined as the length of side B using Angle A and B, and side A is calculated using Side B of Triangle = Side A of Triangle*sin(Angle B of Triangle)/sin(Angle A of Triangle). To calculate Side B of Triangle given Two Angles and Side A, you need Side A of Triangle (S_a), Angle B of Triangle (∠B) & Angle A of Triangle (∠A). With our tool, you need to enter the respective value for Side A of Triangle, Angle B of Triangle & Angle A of Triangle 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 Side A of Triangle, Angle B of Triangle & Angle A of Triangle. 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 C of Triangle*sin(Angle B of Triangle)/sin(Angle C of Triangle)
Side B of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin A)
Side B of Triangle = (2*Area of Triangle)/(Side A of Triangle*Sin C)

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