Please Help! Geometry!

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