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The sides of a triangle are …

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The sides of a triangle are 61,54,35cm.find the length of the smallest and the longest altitude. .. Class 9 herons Formula .

    • Posted by Param Badhran 3 years, 2 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Muskan Choudhary 3 years, 2 months ago

    The length of its longest altitude is 53.665 cm. Sides of triangle --- a=35 cm , b=54cm & C = 61cm. Now ,. Area =√s(s-a)(s-b)(s-c). Where S = a+b+c/2. • s=35+54+61/2 = S= 75. Now area = √75(75-35)(75-54)(75-61). = Area = 939.1485cm² smallest side is 35cm so, area of triangle = 1/2 ×base ×height = 939.1485=1/2×35×height = 939.1485×2/35 = Height. Now height = 53.665. Hence the length of its longest altitude is 53.665Cm

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