Side A of Triangle Calculator

Calculate Side A of Triangle







Formula

The formula to calculate Side A (Sa) of a Triangle is:

\[ Sa = \sqrt{Sb^2 + Sc^2 - 2 \cdot Sb \cdot Sc \cdot \cos(\angle A)} \]

Where:

Definition

Side A of a Triangle is the length of the side opposite to Angle A.

How to calculate Side A of a Triangle

Let's assume the following values:

Using the formula:

\[ Sa = \sqrt{14^2 + 20^2 - 2 \cdot 14 \cdot 20 \cdot \cos(0.5235987755982)} \]

Evaluating:

\[ Sa = 10.54 \text{ meters} \]

Side A is 10.54 meters.

Conversion Table

Side B Side C Angle A (radians) Side A
13 19 0.50 9.82
13 19 0.51 9.94
13 19 0.52 10.06
13 19 0.53 10.19
13 19 0.54 10.31
13 19 0.55 10.43
13 20 0.50 10.61
13 20 0.51 10.73
13 20 0.52 10.85
13 20 0.53 10.97
13 20 0.54 11.09
13 20 0.55 11.21
13 21 0.50 11.44
13 21 0.51 11.55
13 21 0.52 11.67
13 21 0.53 11.79
13 21 0.54 11.90
13 21 0.55 12.02
14 19 0.50 9.49
14 19 0.51 9.63
14 19 0.52 9.76
14 19 0.53 9.90
14 19 0.54 10.03
14 19 0.55 10.17
14 20 0.50 10.23
14 20 0.51 10.36
14 20 0.52 10.49
14 20 0.53 10.62
14 20 0.54 10.76
14 20 0.55 10.89
14 21 0.50 11.00
14 21 0.51 11.13
14 21 0.52 11.26
14 21 0.53 11.39
14 21 0.54 11.52
14 21 0.55 11.65
15 19 0.50 9.26
15 19 0.51 9.41
15 19 0.52 9.56
15 19 0.53 9.71
15 19 0.54 9.85
15 19 0.55 10.00
15 20 0.50 9.92
15 20 0.51 10.07
15 20 0.52 10.21
15 20 0.53 10.36
15 20 0.54 10.51
15 20 0.55 10.65
15 21 0.50 10.64
15 21 0.51 10.78
15 21 0.52 10.92
15 21 0.53 11.06
15 21 0.54 11.21
15 21 0.55 11.35