Question

Given: ∆ABC, AB = 8 m∠C = 90° m∠B = 40° Find: Perimeter of ∆ABC

Answer 1

Your answer is 19.270656422

first, you have that sin(40)=x/8, the leg opposite and the hypotenuse. the your x is 5.142300877. To find the other leg, you do tan(40) =x/5.142300877, which is the same thing as x= 5.14230087/tan(40). your x will be 6.128355545. the only thing to do is add up the sides, and you get 19.270656422]

Answer 2

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