Question

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 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 210 sq. cm before the cut, what is the area (in square inches) of the smaller triangle?
(a) 88.72 sq. cm
(b) 44.36 sq. cm
(c) 117.45 sq. cm
(d) 66.54 sq. cm
(e) 133.09 sq. cm​

Answer 1

Let b and h be the base and height of the given right angled triangle.
area of original triangle = 1/2 × b × h
1/2 × b × h = 34
b × h = 68
According to the question
area of smaller triangle = 1/2 × 0.68b × 0.65h
1/2 × 0.65b × 0.65h = 14.365

Answer 2

Answer:

(e) 133.09 sq. cm is the right answer