Question
Download Solution PDFIn ΔABC, D is a point on side AB such that BD = 3 cm and DA = 4 cm. E is a point on BC such that DE || AC. Then Area of ΔBDE : Area of trapezium ACED
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
BD = 3 cm
DA = 4 cm
Concept used:
Concept of similarity
Calculation:
Here ΔABC ∼ ΔBDE [∵ DE || AC and ∠B is common for two triangles]
So,
ΔABC/ΔBDE = 72/32
⇒ ΔABC/ΔBDE = 49/9
ACED = ΔABC - ΔBDE
⇒ 49 - 9 = 40
∴ Ratio is 9 : 40
∴ Then Area of ΔBDE : Area of trapezium ACED is 9 : 40
Last updated on Jun 13, 2025
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