Question
Download Solution PDFIn the given ΔABC, DE ∥ BC. If BC = 8 cm, DE = 6 cm and area of ΔADE = 90 cm2, then what is the area of ΔABC (in cm2)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
ΔABC ~ ΔADE so,
(AB/AD)2 = (BC/DE)2 = (AC/AE)2 = (area of ΔABC/area of ΔADE)
⇒ (8/6)2 = area of ΔABC/90
⇒ Area of ΔABC = 90 * 16/9
⇒ Area of ΔABC = 160
The area of ΔABC is 160.
Last updated on Jul 12, 2025
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