Answer: Angles: 53.1°, 90°, 39.9°
horizontal lenght: 3/5
vertical lenght: 4/5
hypotenuse: 1
Step-by-step explanation:
We have that:
Angle = 53.1°
Horizontal lenght = 3/5 (this is the adjacent cathetus)
Vertical lenght = 4/5 (this is the opposite cathetus)
We can check this using that
tg(angle) = opposite/adjacent:
tg(53.1) = 1.33
and
(4/5)/(3/5) = 4/3 = 1.33
so this makes sense.
Now, we can find the hypotenuse by the relation:
Sin(angle) = opposite/hypotenuse:
sin(53.1) = (4/5)/H
H = (4/5)/sin(53.1) = 1
Now, in a triangle rectangle we always have an angle of 90°.
And we know that the addition of the 3 internal angles of a triangle rectangle always add up to 180°, so we can find the last angle with this.
A + 53.1° + 90° = 180°
A = 90° - 53.1° = 36.9°
Now we have finded all the missing parts of our triangle.
