Question

Which of the following could be the lengths of the sides of a 30°-60°-90° triangle?

Answer 1

According to Pythagoras theorem

a^2+b^2=c^2

similarly ,

3^2+ 4^2= 5^2

9+16=25
25=25

LHS=RHS
so angle of triangle is 30 , 60 and 90

answer is 3,4,5

Answer 2

C. √3, 3, 2√3 is your answer

Note that 30°-60°-90° triangle has the measurements of 1, √3, 2.

In this case, we are multiplying √3 to all sides

1(√3) = √3
√3(√3) = 3
2(√3) = 2√3

C. √3, 3, 2√3 is your answer


hope this helps