How to find the angles of an isosceles triangle with three given sides?
An isosceles triangle is a triangle that has 2 sides of equal length.
Answer: The angles of an isosceles triangle with three given sides can be found using the law of cosines.
Let us see how to get the angles using cosine law.
From cosine's law
cos C = (a² + b² - c²)/2ab
cos A = (b² + c² - a²)/2bc
cos B = (c² + a² - b²)/2ca
Here, assuming b = c (Since, it's an isosceles triangle)
cos A = (2b² - a²)/2b²
cos B = cos C = a/2b
Hence, we can use the law of cosines to find the angles when three sides are given