Answer:
The TV is 3 inches tall.
[tex]3\text{ inches}[/tex]
Explanation:
Given that the width of the TV is
[tex]4\text{ inches}[/tex]
And the TV is 5 inch TV, which means its diagonal is;
[tex]d=5\text{ inches}[/tex]
The height of the TV can be calculated using the Pythagoras Theorem;
[tex]\begin{gathered} c^2=a^2+b^2 \\ b=\sqrt[]{c^2-a^2} \end{gathered}[/tex]
substituting the diagonal and the width;
[tex]\begin{gathered} b=\sqrt[]{5^2-4^2} \\ b=\sqrt[]{25-16} \\ b=\sqrt[]{9} \\ b=3\text{ inches} \end{gathered}[/tex]
Therefore, the TV is 3 inches tall.
[tex]3\text{ inches}[/tex]
