Side A of Triangle given Two Angles and Side B Calculator

✖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%
✖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%
✖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%

✖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 Two Angles and Side B [S_a]

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Formula

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Side A of Triangle given Two Angles and Side B

Formula

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

Example

`"10.89007m"="14m"*sin("30°")/sin("40°")`

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Side A of Triangle given Two Angles and Side B Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side A of Triangle = Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle)
S_a = S_b*sin(∠A)/sin(∠B)
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 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Angle A of Triangle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Angle B of Triangle: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_a = S_b*sin(∠A)/sin(∠B) --> 14*sin(0.5235987755982)/sin(0.698131700797601)

Evaluating ... ...

S_a = 10.8900667880246

STEP 3: Convert Result to Output's Unit

10.8900667880246 Meter --> No Conversion Required

FINAL ANSWER

10.8900667880246 ≈ 10.89007 Meter <-- Side A of Triangle

(Calculation completed in 00.004 seconds)

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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)

< 4 Sides 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 A of Triangle given Two Angles and Side B Formula

Side A of Triangle = Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of Triangle)
S_a = S_b*sin(∠A)/sin(∠B)

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 Two Angles and Side B?

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

How to calculate Side A of Triangle given Two Angles and Side B using this online calculator? To use this online calculator for Side A of Triangle given Two Angles and Side B, enter Side B of Triangle (S_b), Angle A of Triangle (∠A) & Angle B of Triangle (∠B) and hit the calculate button. Here is how the Side A of Triangle given Two Angles and Side B calculation can be explained with given input values -> 10.89007 = 14*sin(0.5235987755982)/sin(0.698131700797601).

FAQ

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

The Side A of Triangle given Two Angles and Side B formula is defined as the length of side A using Angle A and B, and side B and is represented as S_a = S_b*sin(∠A)/sin(∠B) or Side A of Triangle = Side B of Triangle*sin(Angle A of Triangle)/sin(Angle B of 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, 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 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.

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

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

In this formula, Side A of Triangle uses Side B of Triangle, Angle A of Triangle & Angle B of Triangle. We can use 5 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 C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle)
Side A of Triangle = (2*Area of Triangle)/(Side B of Triangle*Sin C)
Side A of Triangle = (2*Area of Triangle)/(Side C of Triangle*Sin B)
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))

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