Question

Davin orders prints of his school picture in two sizes. The smaller size is 2.5 inches wide with a 4.3 inch diagonal. The larger size is 10 inches wide. How long is the diagonal of the larger size?

a) 5 inches
b) 8 inches
c) 9 inches
d) 10 inches

Answer 1

To find the length of the diagonal of the larger size print, you can use the Pythagorean theorem. The length of the diagonal is approximately 12.81 inches.

Step-by-step explanation:

To find the length of the diagonal of the larger size print, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we know the width of the diagonal is 10 inches and the width is 8 inches. Let's call the length of the diagonal 'd'. We can set up the equation:

d^2 = 8^2 + 10^2

d^2 = 64 + 100

d^2 = 164

d = sqrt(164)

d ≈ 12.81 inches

So, the length of the diagonal of the larger size print is approximately 12.81 inches.