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.

Explanation:

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

Hence, we can find the side of a right triangle with one side and one angle, by using the trigonometric ratios.