A TV screen is 41 cm long and 31 cm high. The length of the diagonal is closest to: A) 49 cm Eliminate B) 51 cm C) 54 cm D) 48 cm

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.