Question

One side if the labtop is 9.5 inches and the other side is 14 inches. Using the Pythagorean Theron, what is the length of the diagonal of the labtop, round to the nearest inch.

Answer 1

(side 1)² + (side 2)² = (diagonal)²

(9.5² + (14)² = (diagonal)²

90.25 + 196 = (diagonal)²

286.25 = (diagonal)²

√286.25 = √(diagonal)²

17 = diagonal

Answer: 17 inches

Answer 2

Using Pythagorean theorem, the length of the diagonal of the laptop, round to the nearest inch is 17in.

What is the length of the diagonal of the laptop?

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c = √( a² + b² )

Given that;

• Length of first side of the laptop a = 9.5in
• Length of second side of the laptop b = 14in
• Length of the diagonal of the laptop c = ?

c = √( a² + b² )

c = √( (9.5in)² + (14in)² )

c = √( 90.25in² + 196in² )

c = √( 286.5in² )

c = 16.9in ≈ 17in

Using Pythagorean theorem, the length of the diagonal of the laptop, round to the nearest inch is 17in.

Learn more about Pythagorean theorem here: brainly.com/question/343682

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