How to find the sides of a right-angled triangle with one given side?

In a right-angled triangle, Pythagoras theorem, as well as trigonometric laws, hold true.

Answer: We can find any side of the triangle if we know an angle(other than the right angle) and anyone side.

We can make use of trigonometric formulas to find the value of unknown sides.

Explanation:

We can find an unknown side of a right-angled triangle if the following are known:

• Anyone side length
• One angle ( apart from the right angle)

                ( Right-angled triangle )

To find out which, first we give names of the sides:

Adjacent is adjacent (next to) to the angle,

The opposite is the opposite to the angle.

And the longest side is the hypotenuse. 

Now we make use of the trigonometric formulas to find the unknown side.

For example, sin x = opposite/hypotenuse, if we know one of the opposite side or hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

Thus we can find any side of the triangle if we know an angle(other than the right angle) and anyone side.