Question

Which of the following is a special right triangle?

(A) 30-60-90
(B) 45-45-90
(C) 60-30-90
(D) All of the above

Answer 1

The special right triangles are the 30-60-90 triangle and the 45-45-90 triangle. In a 30-60-90 triangle, the angles are 30 degrees, 60 degrees, and 90 degrees, and the sides are in a ratio of 1:√3:2. In a 45-45-90 triangle, the angles are both 45 degrees, and the sides are in a ratio of 1:1:√2.

Step-by-step explanation:

The special right triangles are the 30-60-90 triangle and the 45-45-90 triangle. In a 30-60-90 triangle, the angles are 30 degrees, 60 degrees, and 90 degrees, and the sides are in a ratio of 1:√3:2. In a 45-45-90 triangle, the angles are both 45 degrees, and the sides are in a ratio of 1:1:√2. Therefore, the correct answer is (D) All of the above.