volume_mute
Find a Second Unknown Side – Same Similar Triangles
publish date: 2026/05/14 21:40:16.995835 UTC
volume_mute
Using the same pair \(\triangle RST \sim \triangle JKL\) (where \(RT = 48\), \(JL = 32\), \(RS = 36\)), find \(y = JK\).
Correct Answer
24
Explanation
Use the proportion \(\dfrac{RT}{JL} = \dfrac{RS}{JK}\):
\(\dfrac{48}{32} = \dfrac{36}{y}\)
Cross multiply: \(48y = 32 \times 36 = 1{,}152\) → \(y = 24\).
Reference
Mathematics for college students