Answer: perimeter = 62
Step-by-step explanation:
To determine the length of the unknown sides of the triangle, we would apply the sine rule which is expressed as
a/SinA = b/SinB = c/SinC
Therefore
AB/Sin 40 = 19.5/Sin 49
ABSin49 = 19.5Sin40 = 19.5 × 0.64
0.755AB = 12.48
AB = 12.48/0.755
AB = 16.5
The sum of the angles in a triangle is 180°. Therefore,
A = 180 - (40 + 49) = 91°
BC/Sin 91 = 19.5/Sin 49
BCSin49 = 19.5Sin91 = 19.5 × 0.9998
0.755BC = 19.5
BC = 19.5/0.755
BC = 25.8
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = a + b + c
Where
a, b and c represents the length of each side of the triangle.
Perimeter of triangle = 25.8 + 16.5 + 19.5 = 62
