Question

unit 4 triangle properties test
order the angles of \\( \triangle rst \\) in order from least to greatest.
least \\( < < \\) greatest

Explanation:

Step1: Recall the triangle angle - side relationship

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

Step2: Identify the side lengths and their opposite angles

In \(\triangle RST\), side \(RS = 6\) cm (opposite \(\angle T\)), side \(ST=7\) cm (opposite \(\angle R\)), and side \(RT = 8\) cm (opposite \(\angle S\)).

Step3: Compare the side lengths

Since \(6<7<8\), then the angles opposite these sides follow the same order.

Answer:

\(\angle T<\angle R<\angle S\)