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In an equilateral triangle prove that …

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In an equilateral triangle prove that three times the square of one side is equal to four times the square of one of its altitude

    • Posted by Simranpreet Kaur 6 years, 1 month ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 6 years, 1 month ago

    Let ABC be equilateral triangle.

    Let AD be perpendicular bisector from A on to BC. So BD = CD = 1/2 BC

    ADC is a right angle triangle. So  AC² = AD² + DC²
    AC² = AD² + (1/2 AC)²           

        AD² = 3/4 AC²  

         4 AD² = 3 AC²

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