Question

2. If your team makes the new phone 1 inch wider and 2 inches taller, what is the new diagonal
measurement? (Show work). Round your answer to the nearest hundredth.
Task 2: Imagine you are on the design team at Samsung. The company has tasked your
team with deciding the dimensions for the next cell phone model. The Samsung Galaxy
S23 has the following dimensions: 3 inches wide, 5 inches tall, and 6-inch diagonal.
Respond to the following questions:

Answer 1

Are your measurements the same or different from questions 1 and 2? Explain your answer using complete sentences.

Answer 2

Bot?

Answer 3

To find the new diagonal measurement, we can use Pythagoras' theorem, which states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

Using the dimensions provided, the original diagonal measurement can be found using the formula:

diagonal^2 = width^2 + height^2

diagonal^2 = 3^2 + 5^2
diagonal^2 = 9 + 25
diagonal^2 = 34

Taking the square root of both sides, we find:

diagonal ≈ √34

Therefore, the original diagonal measurement is approximately 5.83 inches.

If the new phone is 1 inch wider and 2 inches taller, the new dimensions would be:

Width = 3 + 1 = 4 inches
Height = 5 + 2 = 7 inches

Using the same formula, we can find the new diagonal measurement:

diagonal^2 = width^2 + height^2
diagonal^2 = 4^2 + 7^2
diagonal^2 = 16 + 49
diagonal^2 = 65

Taking the square root of both sides, we find:

diagonal ≈ √65

Therefore, the new diagonal measurement is approximately 8.06 inches.