To find the side labeled x in a triangle, you typically use the Pythagorean theorem or trigonometric ratios, depending on the type of triangle and the information given.
If x is a leg of a right triangle, and you know the lengths of the other leg (let’s call it a) and the hypotenuse (let’s call it c), you can use the Pythagorean theorem:
x² + a² = c²
First, rearrange the formula to solve for x:
x² = c² – a²
Next, take the square root of both sides to find x:
x = √(c² – a²)
If you know the angles of the triangle instead, you might use trigonometric functions like sine, cosine, or tangent to find x. For example, if you know one angle and one side, you could apply the sine or cosine ratio depending on the information you have.
After calculating the value of x, don’t forget to round it to five decimal places as required.