Question

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 1

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 $x$.

(leg 1)² + (leg 2)² = hypotenuse²

$41^{2} +31^{2}=x^{2}$

⇒$1681+961=x^{2}$

⇒$2642=x^{2}$

Using square root on both sides we get:

⇒$51.40=x$

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.