similar triangles have their respectives sides as well as height to the base set in certain proportion. Here, the proportion is multiplied by 3 for all sides, even though it does say about only one side. Area includes base*height/2 and correspondingly 3*3/2=4.5
Quantity A: 25*4.5
Quantity B: 75
Quantity A>Quantity B and answer is \(A\)
Carcass wrote:
A side of the larger of two similar triangles is 3 times as long as the corresponding side of the other triangle. The area of the smaller triangle is 25 square inches.
Quantity A |
Quantity B |
The area of the larger triangle |
75 square inches |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.