Determine the missing measurements for each TV. You are looking for the width, height, or diagonal. You must show all your work and fill in the table. Remember, TVs are given their size by the diagonal length. (32” means 32 inches)
• 32” TV height: 16” width: _____
• _____ TV height: 34” width: 61”
• 60” TV height: 30” width: _____
• _____ TV height: 20” width: 35”
• 52” TV height: _____ width: 45”
• 32” TV height: 16” width: _____
Using the Pythagorean theorem, we can find the width:
Width^2 + Height^2 = Diagonal^2
Width^2 + 16^2 = 32^2
Width^2 + 256 = 1024
Width^2 = 1024 - 256
Width^2 = 768
Width = √768
Width ≈ 27.7 inches
• _____ TV height: 34” width: 61”
Using the Pythagorean theorem, we can find the diagonal length:
Diagonal^2 = Height^2 + Width^2
Diagonal^2 = 34^2 + 61^2
Diagonal^2 = 1156 + 3721
Diagonal^2 = 4877
Diagonal ≈ √4877
Diagonal ≈ 69.8 inches
• 60” TV height: 30” width: _____
Using the Pythagorean theorem, we can find the width:
Width^2 + 30^2 = 60^2
Width^2 + 900 = 3600
Width^2 = 3600 - 900
Width^2 = 2700
Width ≈ √2700
Width ≈ 51.9 inches
• _____ TV height: 20” width: 35”
Using the Pythagorean theorem, we can find the diagonal length:
Diagonal^2 = Height^2 + Width^2
Diagonal^2 = 20^2 + 35^2
Diagonal^2 = 400 + 1225
Diagonal^2 = 1625
Diagonal ≈ √1625
Diagonal ≈ 40.3 inches
• 52” TV height: _____ width: 45”
Using the Pythagorean theorem, we can find the height:
Height^2 + 45^2 = 52^2
Height^2 + 2025 = 2704
Height^2 = 2704 - 2025
Height^2 = 679
Height ≈ √679
Height ≈ 26.1 inches