How to find the side of a right triangle given one side and one angle?
Trigonometry is a branch of maths that deals with relationships between the sides and angles of various shapes.
Answer: We can find the side of a right triangle with one side and one angle, by using the trigonometric ratios.
Let's understand the solution in detail.
Let's consider a right triangle ABC as shown below.
Now, let's have a = 24, and angle A = 60 degrees.
Now, we know that tan 60 = √3. We use this to find the length of b.
Hence, tan A = perpendicular BC / base AC = a/b =√3
Hence, we get b = 8√3.
Now, sin 60 = a/c = √3 / 2
⇒ 24 / c = √3 / 2
⇒ c = 16√3