Question
Download Solution PDF∆ABC is similar to ∆DEF and the ratio of the area of triangle ABC to triangle DEF is 25 ∶ 144. If AB = p cm, AC = q cm and BC = r cm, then DE = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
∆ABC is similar to ∆DEF and the ratio of the area of triangle ABC to triangle DEF is 25 ∶ 144.
If AB = p cm, AC = q cm and BC = r cm, then DE = ?
Formula used:
Ratio of areas of similar triangles = (Ratio of corresponding sides)2
Calculation:
Ratio of areas = 25/144
⇒ (Ratio of corresponding sides)2 = 25/144
⇒ Ratio of corresponding sides = √(25/144)
⇒ Ratio of corresponding sides = 5/12
⇒ AB/DE = 5/12
⇒ DE = (12/5) × AB
⇒ DE = (12/5) × p
∴ The correct answer is option (3).
Last updated on Jun 26, 2025
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