Question

List the sides of each triangle in order from shortest to longest

Answer 1

• MN, NO, MO

Explanation:

We know that:

• ∠M = 180 - (75 + 45) = 60°
• ∠O = 45°
• ∠N = 75°

To determine which is the largest side of a triangle look at the largest angle of the triangle. It's opposite side is the largest side.

• => Largest side = MO
• => Smallest side = MN
• => Middle side = NO

In ascending order => MN, NO, MO

Hoped this helped!

Answer 2

MN, NO, MO

Explanation:

The larger the angle, the longer the side that is opposite to the angle. To find the missing angle add 75 and 45 to give you 120, then subtract that from 180 to get 60. Angle M equals 60 degrees. MN is the shortest since the angle opposite to it is 45 degrees. NO is the middle one since the angle opposite to it is 60 degrees. MO is the longest side since the angle opposite to it is 75 degrees.