Answer: Perimeter = 11.8
Step-by-step explanation:
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
Where a, b and c are the length of each side of the triangle.
The given triangle is a right angle triangle. From the triangle, with B as the reference angle,
AB = hypotenuse
AC = opposite side
BC = adjacent side
To determine the BC, we would apply the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 29 = BC/5
BC = 5Cos29 = 5 × 0.875
BC = 4.375
To determine the AC, we would apply the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 29 = AC/5
AC = 5Sin29 = 5 × 0.485
AC = 2.425
Perimeter of triangle = 5 + 2.425 + 4.375 = 11.8
