A triangle that is similar to a 3-4-5 right triangle is a ____.
A)2-3-4
B)6-8-12
C)12-16-20
D)15-20-25

Question

Quizplus · Accepted Answer

A 3-4-5 right triangle has side lengths in the ratio of 3:4:5. To find a similar triangle, we can multiply each side length by the same constant. For example, if we multiply each side length by 2, we get a triangle with side lengths 6-8-10, which is also in the ratio of 3:4:5. However, this is not one of the answer choices.

If we multiply each side length by 4, we get a triangle with side lengths 12-16-20, which is the same as answer choice C. Therefore, we can conclude that the triangle similar to a 3-4-5 right triangle is a 12-16-20 triangle.

A Triangle That Is Similar to a 3-4-5 Right Triangle