Answer:
The length of the diagonal is closest to 51 cm.
Step-by-step explanation:
Given:
TV screen is 41 cm long and 31 cm high.
Now, to find the length of the diagonal.
By using pythagorean theorem:
leg 1 = 41 cm, leg 2 = 31 cm.
Let the hypotenuse be [tex]x[/tex].
(leg 1)² + (leg 2)² = hypotenuse²
[tex]41^{2} +31^{2}=x^{2}[/tex]
⇒[tex]1681+961=x^{2}[/tex]
⇒[tex]2642=x^{2}[/tex]
Using square root on both sides we get:
⇒[tex]51.40=x[/tex]
So, the length of the diagonal = 51.40 cm.
By rounding off of 51.40cm it becomes 51 cm.
Therefore, the length of the diagonal is closest to 51 cm.
