Answer: The ∠RST in triangle RST has the smallest measurement.
Explanation:
In any triangle, the angle that has the maximum opposite side is the largest angle of that triangle.
Here, RST is a triangle in which,
RS = 15, RT = 12, and ST = 17.
Since, 17 > 15 > 12
⇒ ST > RS > RT
Thus, by the above property of triangle,
⇒ m ∠SRT > m ∠RTS > m ∠RST
Where, ST, RS and RT are opposite sides of ∠SRT, ∠RTS and ∠RST respectively.
Hence, ∠RST is the smallest angle in the triangle.