Question

4 squares are placed edge to edge as shown each square measures 4in by 4in. What is the length of the red diagonal line Drawn through? Round your final answer to the nearest tenth

Answer 1

14.4 inches

Explanation:

The horizontal distance between the ends of the diagonal is 12 inches. The vertical distance is 8 inches. The Pythagorean theorem tells you the diagonal length is ...

... d² = h² +v² . . . . . Pythagorean theorem related to horizontal (h) and vertical (v) legs of the right triangle

... d = √(h² +v²) . . . . take the square root

Fill in the numbers:

... d = √((12 in)² +(8 in)²) = √208 in ≈ 14.4 in