Use the Pythagorean theorem to find the height of a triangle. Subtract the square of the base from the square of the hypotenuse, and find the square root of the difference. You need to know the hypotenuse and the base to complete this task.
- Determine the squares
Multiply the value of the hypotenuse by itself to get the square of the hypotenuse. Multiply the base by itself to get its square.
- Find the difference
Subtract the square of the base from the square of the hypotenuse.
- Calculate the height
Find the square root of the difference in step two above to get the height of the triangle in question. For example, if the hypotenuse is 10 centimeters and the base is 8 centimeters, then the height of the triangle is 6 centimeters.