Question

Click an item in the list or group of pictures at the bottom of the problem and holding your mouse button down, drag it into the correct position in the area. Release your mouse button when the item is place. If you change your mind, double-click one item to remove it, or click the Start Over button to clear all of your answers. Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b 4) 2

Answer 1

The Pythagorean Theorem states that "When a triangle has a right angle of (90°), the square of its hypothenuse is equal to the sum of the squares of the other two sides."

The hypothenuse is the longest side of the triangle.

For example: A triangle has 3 sides. Side A, Side B, and Side C (hypothenuse).

Side A = 3; Side B = 4; Side C = 5; To check if the theorem is true, we must square all sides.

Side A = 3² = 9; Side B = 4² = 16; Side C = 5² = 25

Pythagorean theorem: The square of the hypothenuse is equal to the sum of the squares of two sides.

Side A² + Side B² = Side C²  ==> 9 + 16 = 25 ==> 25 = 25