Question

whitney takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. the cut she makes is 9 inches long and the width of the paper is 8 inches. what is the papers length? if necessary, round to the nearest tenth.

inches

Explanation:

Step1: Apply Pythagorean theorem

Let length = \( l \), width = 8, diagonal = 9.
$$l^2 + 8^2 = 9^2$$

Step2: Calculate \( l^2 \)

$$l^2 = 9^2 - 8^2 = 81 - 64 = 17$$

Step3: Find \( l \)

$$l = \sqrt{17} \approx 4.1$$

Answer:

4.1 inches