Finding an angle with 2 sides depends on what kind of triangle you have and what information is already known. Now, if you only know two side lengths of a triangle, there is usually not enough information to find a unique angle. On the flip side, if the triangle is a right triangle, or if the two sides include important information such as the hypotenuse, a right angle, or a known included angle, then trigonometry or the Law of Cosines can be used to find the missing angle Not complicated — just consistent..
Introduction
When people ask how to find an angle with 2 sides, they are usually working with a triangle. In geometry and trigonometry, an angle is often found by comparing side lengths. The main tools for this are SOH-CAH-TOA, the Pythagorean theorem, and the Law of Cosines.
The most important thing to remember is this: two side lengths alone do not always determine an angle. A triangle with sides 3 and 4 could have many different shapes depending on the angle between them. To find an angle, you usually need either:
- Two sides and a right angle
- Two sides and the included angle
- Two sides and another angle
- All three sides
- Some relationship between the sides, such as an isosceles triangle
Once you know which situation you have, you can choose the correct method That's the whole idea..
Why Two Sides Are Not Always Enough
Imagine you are given two
