Answer:
28.5 inches.
Step-by-step explanation:
Given: Measurement of diagonal= 36 inch.
Height= 22 inches
Picture attached to show the measurement.
As the screen of televison is measured by diagonal of screen.
∴ Hypotenous= diagonal of screen, which is 36 inches.
Now, using pythagorean theoram to find length of television screen.
[tex]hypotenous^{2} = opposite^{2}+adjacent^{2}[/tex]
∴ [tex]36^{2} = 22^{2} + adjacent^{2}[/tex]
Here adjacent is the length of television.
⇒[tex]1296= 484+ length^{2}[/tex]
Subtracting both side by 484.
⇒[tex]length^{2} = 812[/tex]
Taking square root on both side
remember: [tex]\sqrt{a^{2} } = a[/tex]
∴ [tex]length= \sqrt{812}= 28.495 \approx 28.5[/tex]
Hence, length of televison screen is 28.5 inches.
