Anna takes a rectangular piece of fabric and makes a diagonal from one corner to the opposite corner. The diagonal cut is 26 inches and the length is 24 inches. What is the width of the rectangular piece of fabric, rounded to the nearest tenth if necessary?

10 inches

Step-by-step explanation:

To solve the above question, we use the formula:

D² = L² + W²

Where

D = Diagonal = 26 inches

L = Length = 24 inches

W = Width

Hence:

W² = D² - L²

W = √D² - L²

W = √26² - 24²

W = √676 - 576

W = √100

W = 10 inches

Therefore, the width of the rectangular piece of fabric is 10 inches.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.