SOLUTION: One side of a triangle is 18 cm. Inside the triangle, a segment is drawn parallel to the 18cm side, forming a trapezoid whose area is 1/3 that of the original triangle. Find the le

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: One side of a triangle is 18 cm. Inside the triangle, a segment is drawn parallel to the 18cm side, forming a trapezoid whose area is 1/3 that of the original triangle. Find the le      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1114356: One side of a triangle is 18 cm. Inside the triangle, a segment is drawn parallel to the 18cm side, forming a trapezoid whose area is 1/3 that of the original triangle. Find the length of this segment.
Answer by Happy_Feet1012(1) About Me  (Show Source):
You can put this solution on YOUR website!
Trapezoid is 1/3 area; the triangle is 2/3 area of original triangle. This smaller triangle is similar to the larger triangle. Use Area of small triangle/ Area of large triangle = segment ^2/ 18^2.
Solve.
Answer 14.7 cm