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A triangle and a parallelogram have …

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A triangle and a parallelogram have the same base and the same area.If the sides of the triangle are 26cm,28cm and 30cm,and the parallelogram stands on the base 28cm ,find height of the parallelogram

    • Posted by Satyam Patel 8 years, 6 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Kashish Singhwaiya 8 years, 6 months ago

    First we will find it with herons formula- 26 + 28 + 30 /2 84 /2=42 √s(s-a)(s-b)(s-c) √42(42-26)(42-28)(42-30) √42×16×14×12 √7×6×2×8×2×7×2×6 √7×2×3×2×2×2×2×2×7×2×2×3 7×3×2×2×2×2 21×16 336cm square. To find the height of parallelogram b×h=336 28×h=336 h=336/28 h=12

    1Thank You

    Shria Mishra 8 years, 6 months ago

    Height of parallelogram= 12 cm Firstly you need to find the area of the ∆ by heron's formula. Since area of ∆=area of parallelogram, so the area would be equal to the product of base and height of the llgm . From this equation you can find the height of the llgm by taking base as 28 and area as the area of ∆.

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