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:
1. If your team makes the new phone 2 inches wider and 1 inch taller, what is the new diagonal
measurement? (Show work). Round your answer to the nearest hundredth.
To find the new diagonal measurement, we can use the Pythagorean theorem.
Let the original width (w) be 3 inches and the original height (h) be 5 inches.
Using the Pythagorean theorem, we can find the original diagonal (d) as follows:
d = √(w^2 + h^2)
= √(3^2 + 5^2)
= √(9 + 25)
= √34
≈ 5.83 inches
Now, if the new phone is 2 inches wider (w+2) and 1 inch taller (h+1), the new diagonal (d') can be found as follows:
d' = √((w+2)^2 + (h+1)^2)
= √((3+2)^2 + (5+1)^2)
= √(5^2 + 6^2)
= √(25 + 36)
= √61
≈ 7.81 inches
Therefore, the new diagonal measurement is approximately 7.81 inches.