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

The length of the diagonal is closest to 51 cm.

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.