Question

The two shorter sides of a right-angled triangle have lengths a and b. a is increased by 33% and b is decreased by 12%.

What is the percentage change in the area of the triangle?

Answer 1

Answer: 17.04% increase

Explanation:

The area of a triangle is (ab)/2

The area of the new triangle is (1.33a)(0.88b)/2

= 1.1704ab/2

= 17.04% increase