Side A of Triangle given Two Angles and Side C Calculator

✖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 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 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 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 C [S_a]

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Side A of Triangle given Two Angles and Side C Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side A of Triangle = Side C of Triangle*sin(Angle A of Triangle)/sin(Angle C of Triangle)
S_a = S_c*sin(∠A)/sin(∠C)
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 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 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 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 C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Angle A of Triangle: 30 Degree --> 0.5235987755982 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_a = S_c*sin(∠A)/sin(∠C) --> 20*sin(0.5235987755982)/sin(1.9198621771934)

Evaluating ... ...

S_a = 10.6417777247577

STEP 3: Convert Result to Output's Unit

10.6417777247577 Meter --> No Conversion Required

FINAL ANSWER

10.6417777247577 ≈ 10.64178 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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< Side of Triangle Calculators

Side A of Triangle

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 C Formula

LaTeX Go

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

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

How to calculate Side A of Triangle given Two Angles and Side C using this online calculator? To use this online calculator for Side A of Triangle given Two Angles and Side C, enter Side C of Triangle (S_c), Angle A of Triangle (∠A) & Angle C of Triangle (∠C) and hit the calculate button. Here is how the Side A of Triangle given Two Angles and Side C calculation can be explained with given input values -> 10.64178 = 20*sin(0.5235987755982)/sin(1.9198621771934).

FAQ

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

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

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

In this formula, Side A of Triangle uses Side C of Triangle, Angle A of Triangle & Angle C of Triangle. We can use 3 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 = (2*Area of Triangle)/(Side B of Triangle*Sin C)

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