Given: ∆abc, ab = 8 m∠c = 90° m∠b = 40° find: perimeter of ∆abc

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

560

hope this : )