Answer:
sin θ = 12 / 13
Step-by-step explanation:
Given that :-
A right triangle having
Hypotenuse = 13
adjacent side ( Base ) = 5
Opposite side ( perpendicular ) = ?
To Find :-
Solution :-
Firstly ,we need to find opposite side ( missing side ) of triangle
Using Pythagorean theorem
a ² + b ² = c ²
- Where, a and b is the base and c is the height of triangle.
substitute the value
( 5 ) ² + ( b) ² = ( 13 ) ²
evaluate the exponent
25 + b² = 169
subtract 25 from each side
25 - 25 + b² = 169 - 25
b ² = 144
Take the square root of each side
√b² = √144
b = 12
Hence , opposite side , b = 12
And , Finding sin θ
sin θ = opposite side / hypotenuse
sin θ = 12 / 13
