Question

In scalene triangle abc angle b is 45 degrees, and angle c is 55 degrees.
What is the order of the sides in length from longest to shortest

Answer 1

First, let's find angle A.

The angles of a triangle always add up to 180 degrees.
A + B + C = 180
A + 45 + 55 = 180
A + 100 = 180
A = 80 degrees

The longest side is always opposite the largest angle.
Since A is the largest angle, the longest side is BC.
The next largest angle is C, and the next longest side is AB.
And the smallest angle B gives us the shortest side AC.

Therefore, your answer would be BC, AB, AC.