Question

A square tile with a side length of 75inches is cut diagonally. What is the length of the cut in inches? (G.8b)(1 point) Diagonal O A. 1415 O B. 7/10 2 O C. 7/10 OD. 715

Answer 1

The length of the cut in inches is approximately 106.07 inches.

Step-by-step explanation:

To find the length of the cut, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. In this case, the two sides are the lengths of the sides of the square tile, and the hypotenuse is the length of the cut. So, we have:

c^2 = a^2 + b^2

where c is the length of the cut, and a and b are the side lengths of the square tile. Since the square has equal sides, we can write it as:

c^2 = 75^2 + 75^2

Simplifying, we get:

c^2 = 2(75^2)

c = sqrt(2) * 75

c ≈ 106.07 inches

Answer 2

hello

to solve this question, let's simply draw the tile to give an illustration of it

we can solve this question by simply using pythagorean theorem

from pythagorean theorem,

`\begin{gathered} x^2=y^2+z^2 \\ y=z=7\sqrt[]{5} \end{gathered}`
`\begin{gathered} x^2=y^2+z^2 \\ x^2=(7\sqrt[]{5})^2+(7\sqrt[]{5})^2 \\ x^2=490 \\ \text{take square root of both sides} \\ x=\sqrt[]{490} \\ x=7\sqrt[]{10} \end{gathered}`

from the calculation above the value of the diagonal is option C