68.4k views
4 votes
Hermina cut a 10'' by 15'' piece of cardboard down the diagonal. A rectangle is 10 inches wide and 15 inches long. A diagonal cut is shown with a line labeled c. The cut divides the rectangle in half and creates two right triangles. The hypotenuse of each right triangle is the line labeled c. What is the length c of the cut, in inches?

User Moulay
by
7.8k points

1 Answer

1 vote

Answer:

18.03 inches

Explanation:

The cardboard is cut as shown below.

The line c cuts the rectangle into 2 right angled triangles.

To find the diagonal (hypotenuse), we have to apply Pythagoras Rule:


hyp^2 = opp^2 + adj^2\\\\=> c^2 = 10^2 + 15^2\\\\c^2 = 100 + 225 = 325\\\\

=> c = 18.03" = 18.03 inches

The length of c, the diagonal, is 18.03 inches.

User Ziv Levy
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.