College Geometry

Question

The angles of a triangle are in a ratio of 1:2:3. Find the ratio of the sides opposite these angles.

a) 1:2‾‾√:2

b) 1:3‾‾√:2

c) Cannot be determined.

d) 1:2:3

e) 1:2‾‾√:3

f) None of the above

Answer 1

A triangle with angles in ratio 1:2:3 means the angles are 30, 60 and 90 degrees.

You should recognize this triangle and immediately know that the sides are in ratio 2:1:√3 where 2 is opposite 90, √3 is opposite 60 and 1 is opposite 30..