Question
Download Solution PDFIf Δ ABC ∼ Δ QPR,
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Δ ABC ∼ Δ QPR,
AC = 12 cm, AB = 18 cm and BC = 10 cm
Concept used:
Δ ABC ∼ Δ QPR
⇒ Ratio of respective areas = Ratio of square of respective sides
that is,
Calculation:
⇒ 4/9 = (10)2/PR2
⇒ PR2 = 900/4
⇒ PR2 = 225
⇒ PR = 15 cm
Mistake Points In this question, it is given that ΔABC is similar to ΔQPR. Do not misread as ΔPQR.
Δ ABC ∼ Δ QPR, this relation matters while applying the similarity rule,
What is given in the ratio form, is just for your confusion.
Last updated on Jul 21, 2025
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