Question

Roof trusses are triangular structures that provide support to the roof of a house. The picture below shows a roof truss. A right angle triangular part of a roof is show. It is labeled ABC. The measure of angle ABC is 90 degrees, the measure of angle CAB is 45 degrees and the length of CB is 5 meters. What is the length of the side AC of the roof? 5 cot 45° 5 by cot 45 5 by cosec 45 5 cosec 45°

Answer 1

well technically
there is are other rules that can be used to solved this
and
other ways to solve it

first of all it is an isosceles triangle
( i am assuming you know the properties of an isosceles triangle)

another way
it is also a 45 45 90 triangle
( am assuming you know the properties of that also)

lastly
there is rule of cosines

c ^2 = a^2 + b^2 - 2ab ( C )