Question

unit 4 triangle properties test
given:
△rst
rs = 14 in.
st = 10 in.
tr = 16 in.
list the interior angles of △rst in order from smallest to largest, with smallest being the first angle and the largest being the last angle.
= ∠r
= ∠s
= ∠t

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger the side length, the larger the angle opposite it.

Step2: Compare the side lengths

We have \(RS = 14\) in, \(ST=10\) in, \(TR = 16\) in. So, \(ST

Step3: Determine the angles opposite the sides

The angle opposite \(ST\) is \(\angle R\), the angle opposite \(RS\) is \(\angle T\), and the angle opposite \(TR\) is \(\angle S\).

Answer:

\(\angle R,\angle T,\angle S\)