SOLUTION: Lisa is making triangular patches out of a piece of square fabric. She needs to cut the fabric in half to make the triangles she will sew together. The fabric has an area of 144 sq

Algebra ->  Triangles -> SOLUTION: Lisa is making triangular patches out of a piece of square fabric. She needs to cut the fabric in half to make the triangles she will sew together. The fabric has an area of 144 sq      Log On


   

Question 990149: Lisa is making triangular patches out of a piece of square fabric. She needs to cut the fabric in half to make the triangles she will sew together. The fabric has an area of 144 square inches. What is the approximate length of the diagonal that needs to be cut?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
For original square(s=length of side):
Area=s%5E2
144in%5E2=s%5E2
sqrt%28144in%5E2%29=sqrt%28x%5E2%29
12in=s
The length of the side is 12 inches.
.
The diagonal of a square (d=diagonal):
d=%28s%29sqrt%282%29
d=%2812%29sqrt%282%29
.
ANSWER: The diagonal is approximately 17 inches.