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 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

Asked by rushabhjain.av | 1st Apr, 2019, 07:56: AM

Expert Answer:

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 

Answered by Sneha shidid | 1st Apr, 2019, 09:42: AM