The width of the TV is 27.9 inches
Step-by-step explanation:
Given,
Diagonal of TV = 32 inch
Height of TV = 15.7 inch
The diagonal makes the TV into a right triangle,
Therefore,
Diagonal = hypotenuse = c = 32 inch
Height = perpendicular = a = 15.7 inch
Width = base = b
Using pythagoras theorem
[tex]a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{777.51}\\b=27.88[/tex]
Rounding off to nearest tenth
b = 27.9 inches
The width of the TV is 27.9 inches
Keywords: Pythagoras theorem, square root
Learn more about square root at:
- brainly.com/question/2154850
- brainly.com/question/2367554
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