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

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Side B of Triangle given Two Sides and Two Angles B and C Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side B of Triangle = (Side A of Triangle-Side C of Triangle*cos(Angle B of Triangle))/cos(Angle C of Triangle)
S_b = (S_a-S_c*cos(∠B))/cos(∠C)
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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.
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.
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 C of Triangle - (Measured in Radian) - Angle C of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side C of the Triangle.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Angle B of Triangle: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Angle C of Triangle: 110 Degree --> 1.9198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_b = (S_a-S_c*cos(∠B))/cos(∠C) --> (10-20*cos(0.698131700797601))/cos(1.9198621771934)

Evaluating ... ...

S_b = 15.5572382686245

STEP 3: Convert Result to Output's Unit

15.5572382686245 Meter --> No Conversion Required

FINAL ANSWER

15.5572382686245 ≈ 15.55724 Meter <-- Side B of Triangle

(Calculation completed in 00.004 seconds)

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< Projection Formulae in Triangles Calculators

Side A of Triangle given Two Sides and Two Angles A and B

LaTeX Go Side A of Triangle = (Side C of Triangle-Side B of Triangle*cos(Angle A of Triangle))/cos(Angle B of Triangle)

Side C of Triangle given Two Sides and Two Angles A and B

LaTeX Go Side C of Triangle = Side A of Triangle*cos(Angle B of Triangle)+Side B of Triangle*cos(Angle A of Triangle)

Side B of Triangle given Two Sides and Two Angles A and C

LaTeX Go Side B of Triangle = Side A of Triangle*cos(Angle C of Triangle)+Side C of Triangle*cos(Angle A of Triangle)

Side A of Triangle given Two Sides and Two Angles B and C

LaTeX Go Side A of Triangle = Side B of Triangle*cos(Angle C of Triangle)+Side C of Triangle*cos(Angle B of Triangle)

Side B of Triangle given Two Sides and Two Angles B and C Formula

LaTeX Go

Side B of Triangle = (Side A of Triangle-Side C of Triangle*cos(Angle B of Triangle))/cos(Angle C of Triangle)
S_b = (S_a-S_c*cos(∠B))/cos(∠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 B of Triangle given Two Sides and Two Angles B and C?

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

How to calculate Side B of Triangle given Two Sides and Two Angles B and C using this online calculator? To use this online calculator for Side B of Triangle given Two Sides and Two Angles B and C, enter Side A of Triangle (S_a), Side C of Triangle (S_c), Angle B of Triangle (∠B) & Angle C of Triangle (∠C) and hit the calculate button. Here is how the Side B of Triangle given Two Sides and Two Angles B and C calculation can be explained with given input values -> 15.55724 = (10-20*cos(0.698131700797601))/cos(1.9198621771934).

FAQ

What is Side B of Triangle given Two Sides and Two Angles B and C?

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

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

The Side B of Triangle given Two Sides and Two Angles B and C formula is defined as the length of side B using Angle B and C and side A and C is calculated using Side B of Triangle = (Side A of Triangle-Side C of Triangle*cos(Angle B of Triangle))/cos(Angle C of Triangle). To calculate Side B of Triangle given Two Sides and Two Angles B and C, you need Side A of Triangle (S_a), Side C of Triangle (S_c), Angle B of Triangle (∠B) & Angle C of Triangle (∠C). With our tool, you need to enter the respective value for Side A of Triangle, Side C of Triangle, Angle B of Triangle & Angle C 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, Side C of Triangle, Angle B of Triangle & Angle C of Triangle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Side B of Triangle = Side A of Triangle*cos(Angle C of Triangle)+Side C of Triangle*cos(Angle A of Triangle)
Side B of Triangle = (Side C of Triangle-Side A of Triangle*cos(Angle B of Triangle))/cos(Angle A of Triangle)

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