
Related Links:
 sine, cosine , tangent
 Pythagorean Theorem
 Right Triangle Calculator
There are many ways to find the side length of a right triangle. We are going to focus on two specific cases.
Case I
When we know two sides of the right triangle, in which case, we will use the Pythagorean theorem
Case II
When we know 1 side and 1 angle of the right triangle, in which case, we will use good old sohcahtoa
Video Tutorial
on Finding the Side Length of a Right Triangle
Practice Problems
Calculate the length of the sides below. In each case, round your answer to the nearest hundredth
Since we know 2 sides of this triangle, we will use the Pythagorean theorem to solve for x.
Substitute the two known sides into the Pythagorean theorem's formula:
 A² + B² = C²
 8² + 6² = x²
 100 = x²
Since we know 1 side and 1 angle of this triangle, we will use sohcahtoa
Set up an equation using a sohcahtoa ratio. Since we know the hypotenuse and want to find the side opposite of the 53° angle, we are dealing with sine
Now, just solve the Equation:
x = 15sin(53) = 11.98