The value of the perpendicular is 12 and the hypotenuse is 8√3.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The value of the sides will be calculated as:-
The perpendicular side will be calculated by using tan theta.
tan Ф = Perpendicular / BAse = P / 4√3
P = 4√3 x tan(60)= 4 √3 x √3 =12
The value of the hypotenuse will be calculated by using the Cos angle:-
Cos 60 = Base \ Hyputenuse.
Cos 60 = 4√3 / Hypotenuse
1 / 2 = 4√3 / Hypotenuse
Hypotenuse = 2 x 4 x √3 = 8√3
Therefore the value of the perpendicular is 12 and the hypotenuse is 8√3.
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