Respuesta :
Answer:
The answer is b = 55
Step-by-step explanation:
First off if you add every corner's degrees for the triangle together it should be equal to 180 degrees.
You would first do 39 + 86 = 125 and then subtract 125 from 180. 180 - 125 = 55.
There you have your answer!
Using a trigonometric relation for right triangles, we will see that b = 67cm.
How to find the value of b?
In this case, b is the other cathetus of the right triangle, c is the hypotenuse.
We know that A = 39°, then the cathetus a is the opposite cathetus of that angle, and b is the adjacent cathetus.
So we can use the relation:
cos(angle) = (adjacent cathetus)/(hypotenuse)
Replacing what we know, we get:
cos(A) = b/c
cos(39°) = b/86cm
Solving it for b we get:
cos(39°)*86cm = b = 66.8cm
Rounding to the next whole number, we get:
b = 67cm
If you want to learn more about right triangles:
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