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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 .
(leg 1)² + (leg 2)² = hypotenuse²
⇒
⇒
<em>Using square root on both sides we get:</em>
⇒
<u><em>So, the length of the diagonal = 51.40 cm. </em></u>
<u><em>By rounding off of 51.40cm it becomes 51 cm.</em></u>
Therefore, the length of the diagonal is closest to 51 cm.