Given a right triangle with legs of 5 cm and 30 cm, which triangle is similar?
Responses
A A right triangle with legs of 3 cm and 24 cmA right triangle with legs of 3 cm and 24 cm
B A right triangle with legs of 6 cm and 18 cmA right triangle with legs of 6 cm and 18 cm
C A right triangle with legs of 4 cm and 24 cmA right triangle with legs of 4 cm and 24 cm
D A right triangle with legs of 6 cm and 24 cm
The correct answer is B. A right triangle with legs of 6 cm and 18 cm.
In order for two triangles to be similar, their corresponding sides must be proportional.
In this case, the ratio of the legs of the given triangle is 5 cm / 30 cm = 1/6 or 0.1667.
The ratio of the legs of the triangle in option B is 6 cm / 18 cm = 1/3 or 0.3333.
Since the ratios are not equal, options A, C, and D are not similar to the given triangle. However, option B has a ratio of 0.3333, which is equal to the ratio of the given triangle. Therefore, option B is the correct answer.