Question

Which set of values could be the side lengths of a 30-60-90 triangle?
A. (5,5,√2,10)
B. (5,5,√3,10)
C. (5,5,10,√2)
D. (5,10,10,√3)

Answer 1

Answer:

B

Step-by-step explanation:

In a right triangle, the three angles are 30, 60 and 90 respectively. Let the side opposite the 30 degree Angle be A. The hypotenuse is 2a.

According to Pythagorean theorem, the other side is equal to the square root of 4a -a = sqrt 3A.

And then we get: the side opposite the 30 degrees over the other side over the hypotenuse is equal to 1: sqrt 3:2.

So it will be B, 5, 10, 5sqrt3

Answer 2

Answer:

The answer is (5,5,squareroot of 3, 10)

Step-by-step explanation: