Which of the following are not the lengths of the sides of a 30°-60°-90° triangle?

B. 5/2, 2√3/2, 10

Step-by-step explanation:

A 30-60-90 triangle must have their sides equal to x, x√3, and 2x, where x represents one of the sides.

Let's say x is 5/2, (5/2)√3 is (5√3)/2.  So far this side works for a 30-60-90 triangle.  But 2x would be 5/2(2) = 5.

This means the other side should be 5, not 10.  Therefore this triangle cannot be a 30-60-90 triangle.

You can see that in all of the other answers, the second number is the first number times √3, and the third number is the first number times 2.

the answer is b.)

< 1=< 2

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.