Given: ∆ABC, AB = 8 m∠C = 90° m∠B = 40° Find: Perimeter of ∆ABC
2 answers:
Answer:
The perimeter of the triangle ABC is 19,27 m
Step-by-step explanation:
In order to solve this we first have to create a triangle rectangle, check the image attached to understand it better, and with that we use law of sines in order to calculate the other sides of the triangle:
As you can see we know that the hypothenuse is 8 m, and we have both angles, so for the angle that is opposed to the 50º angle we will use 8cos50=5,1423 m.
For the side that is opposed to the 40º angle we will use 8cos40:6,1283m
SO to calculate the perimeter we just add the three sides:
5,1423 + 6,1283 + 8= 19,27
The perimeter of the triangle ABC is 19,27 m
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