Question

identify the angles of △fgh. see example 2.
(image of triangle fgh with sides: fg = 33 cm, gh = 37 cm, fh = 39 cm)

1. which angle is the smallest?
2. which angle is the largest?

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

Step2: Identify the shortest and longest sides

The side lengths are \(GF = 33\mathrm{cm}\), \(GH=37\mathrm{cm}\), \(FH = 39\mathrm{cm}\). The shortest side is \(GF = 33\mathrm{cm}\), and the longest side is \(FH=39\mathrm{cm}\).

Step3: Determine the smallest and largest angles

The angle opposite side \(GF\) is \(\angle H\), and the angle opposite side \(FH\) is \(\angle G\).

Answer:

1. The smallest angle is \(\angle H\).
2. The largest angle is \(\angle G\).