Question

list the angle measures of δrst in order from smallest to largest, given that rt = 48 centimeters, st = 37 centimeters, and rs = 70 centimeters. m∠□ < m∠□ < m∠□

Explanation:

Step1: Match sides to opposite angles

In $\triangle RST$:

• Side $ST=37$ cm is opposite $\angle R$
• Side $RT=48$ cm is opposite $\angle S$
• Side $RS=70$ cm is opposite $\angle T$

Step2: Order sides by length

$37 < 48 < 70$, so $ST < RT < RS$

Step3: Apply triangle angle-side relationship

In a triangle, the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side. So the angles follow the same order as their opposite sides.

Answer:

$m\angle R < m\angle S < m\angle T$