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equilateral triangle DEF is inscribed in …

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equilateral triangle DEF is inscribed in equilateral triangle ABC as shown with DE is perpendicular to BC. The ratio of the area of triangle DEF to the area of triangle ABC is

    • Posted by Aman Barnwal 5 years, 8 months ago

    CBSE > Class 11 > Mathematics
    • 1 answers

    Insight Coaching 5 years, 8 months ago

    Let side of triangle ABC be (2x)m and side of triangle DEF be (x)m. In∆ABC ~ ∆DEF (by AA ) since both ∆ are equilateral ∆. now, ar(∆DEF):ar(∆ABC)=x²:x²/4 =1:4 Hence ratio of area of ∆DEF to the area of ∆ABC is 1:4

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