Q:

whata the answer for this pythagorean theorem?

Accepted Solution

A:
The Pythagorean Theorem is a² + b² = c², where c is the hypotenuse of a right triangle. The hypotenuse of the triangle is always opposite the right angle; in this case, the hypotenuse measures 5 units. To find the missing side length, plug the given values into the theorem and solve algebraically for x.

x² + 4² = 5²  (plug in values for hypotenuse and side length)
x² + 16 = 25  (square 4 and 5)
x² = 9  (subtract 16 from both sides)
x = 3  (take the square root of both sides)

Answer:
x = 3