Question

list the angles of the triangle in order from smallest to largest. note that the figure is not drawn to scale.

Explanation:

Step1: Find the length of the hypotenuse

Use the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(a = 2.9\), \(b=4.1\).
\(c=\sqrt{2.9^{2}+4.1^{2}}=\sqrt{8.41 + 16.81}=\sqrt{25.22}\approx5.02\)

Step2: Recall the angle - side relationship in a triangle

In a triangle, the larger the side length, the larger the angle opposite it.
The side lengths (after calculating the hypotenuse) are \(2.9\), \(4.1\), \(5.02\)
The angles opposite these sides are \(\angle B\), \(\angle A\), \(\angle C\) respectively (\(\angle C = 90^{\circ}\))

Answer:

\(\angle B,\angle A,\angle C\)