A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

(1) 16.665

(2) 16.565

(3) 15.465

(4) 14.365

• Ratio of larger to smaller triangle is 1/.65 = 20/13
  Area of orginal Triangle/Area of smaller triangle = (20)^2/(13)^2
  Via substituting you get Area of smaller triangle as 34*169/400 =14.365 (Ans)
  Hence 4
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