Final answer:
Larry's television will fit inside the entertainment stand as the stand's calculated diagonal is about 32.8 inches, which is larger than the television's 27-inch diagonal.
Step-by-step explanation:
To determine if Larry's television will fit inside the entertainment stand, we need to use the Pythagorean theorem to find the length of the television's diagonal considering its width and height. Given that the space for the television measures 20 inches by 26 inches, we can represent the dimensions of the space as two sides of a right-angled triangle. Using the Pythagorean theorem (a² + b² = c²), where 'a' and 'b' are the sides and 'c' is the diagonal (hypotenuse), we can calculate the diagonal as follows:
- a = 20 inches (width)
- b = 26 inches (height)
- c = √(20² + 26²)
- c = √(400 + 676)
- c = √1076
- c ≈ 32.8 inches
The calculated diagonal of the space within the entertainment stand is approximately 32.8 inches, which is larger than the diagonal of Larry's television, which is 27 inches. Therefore, Larry's television will fit inside the stand.