volume_mute
Find the Unknown Side – Similar Triangles
publish date: 2026/05/14 21:40:16.707971 UTC
volume_mute
In the figure below, \(\triangle RST \sim \triangle JKL\). Find \(x\).
Correct Answer
30
Explanation
Set up a proportion using corresponding sides: \(\dfrac{RT}{JL} = \dfrac{ST}{KL}\)
\(\dfrac{48}{32} = \dfrac{x}{20}\)
Cross multiply: \(48 \times 20 = 32x\) → \(960 = 32x\) → \(x = 30\).
Reference
Mathematics for college students