Question

Mario purchased a computer with a screen that measures 16.0 inches diagonally. The length of the screen is 11 inches. What is the width of the screen? Round your answer to the nearest tenth of an inch.

Answer 1

11.6 inches

Explanation:

We can use Pythagorean Theorem to solve this problem. We're given the value of the hypotenuse (c) as 16, and the value of the leg (a) as 11. Now, we must find B by solving the equation.

• 
  `11^2 + b^2 = 16^2`

Step 1: Simplify both sides.

• 
  `121 + b^2 = 256`

Step 2: Subtract 121 from both sides.

• 
  `121 + b^2 - 121 = 256-121`
• 
  `b^2=135`

Step 3: Square root both sides.

• 
  `√(b^2) = √(135)`
• 
  `b = √(135)`

• b ≈ 11.6

Therefore, the width is 11.6 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer 2

11.61 in

Explanation:

the screen when divided diagonally, forms 2 right triangles

diagonal = hypotenuse = 16

16^2 = 11^2 + w^2

w^2 = 135

w = 11.61