Atv 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

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

⇒

⇒

Using square root on both sides we get:

⇒

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.