Answer:
The smallest angle is 32 degrees
Step-by-step explanation:
The given parameters show that the triangle is a right angled triangle;
Let the two other angles be represented by x and y;
Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;
Scenario 1 (Calculating x)
Let opposite = 5 cm
Let adjacent = 8 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;
Take arctan of both sides
(Approximated)
Scenario 2 (Calculating y)
Let opposite = 8 cm
Let adjacent = 5 cm
In trigonometry, The relationship between opposite and adjacent is Tangent;
Take arctan of both sides
(Approximated)
<em>By comparing the angles, the smallest angle is 32 degrees</em>