# Find the Length of a tri{6}{}{10}{}{}{}

Find the Length of a tri{6}{}{10}{}{}{}
Assume that angle .
Find the last side of the triangle using the Pythagorean theorem.
Use the Pythagorean theorem to find the unknown side. In any right triangle, the area of the square whose side is the hypotenuse (the side of a right triangle opposite the right angle) is equal to the sum of areas of the squares whose sides are the two legs (the two sides other than the hypotenuse).
Solve the equation for .
Substitute the actual values into the equation.
Raise to the power of .
Raise to the power of .
Multiply by .
Subtract from .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Find .
The angle can be found using the inverse sine function.
Substitute in the values of the opposite side to angle and hypotenuse of the triangle.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Evaluate .
Find the last angle of the triangle.
The sum of all the angles in a triangle is degrees.
Solve the equation for .