Triangle A and triangle B are similar. The area of triangle A is 560 square centimeters. The area of triangle B is 35 square centimeters. How long would a segment in triangle A be if the corresponding segment in triangle B is 4 centimeters?
A) 64 centimeters
B) 16 centimeters
C) 4 centimeters
D) 1 centimeters
E) There is not enough information to answer the question.

Question

Quizplus · Accepted Answer

The ratio of the areas of similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, if the area of triangle A is 560 square centimeters and the area of triangle B is 35 square centimeters, the ratio of their areas is 560/35 = 16. This means the ratio of the lengths of their corresponding sides is the square root of 16, which is 4. If a segment in triangle B is 4 centimeters, the corresponding segment in triangle A would be 4 times longer, making it 4 * 4 = 16 centimeters.

Triangle a and Triangle B Are Similar