Answer:
15 inches
Step-by-step explanation:
We can solve this problem using the Pythagorean theorem. The formula is:
[tex]a^{2} + b^{2} = c^{2}[/tex]
where 'c' is the hypotenuse (the longest side) and 'a' and 'b' are the legs (the other sides).
First, draw a diagram for the problem. (See the photo attached below)
We know the other leg is 8 and the hypotenuse is 17. 'a' is the missing side.
a = ?
b = 8
c = 17
Substitute the values into the equation.
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]a^{2} + 8^{2} = 17^{2}[/tex]
Rearrange to isolate 'a'
[tex]a^{2} = 17^{2} - 8^{2}\\[/tex] Square root both sides
[tex]a = \sqrt{17^{2} - 8^{2}}[/tex] Square each number
[tex]a = \sqrt{289-64}[/tex] Subtract under the root
[tex]a = \sqrt{225}[/tex] Find the square root
[tex]a =15[/tex] Final answer
Therefore, the TV is 15 inches tall.
