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If ABCD is a rhombus with …

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If ABCD is a rhombus with AC=16cm, AB=10cm. What is the area of the rhombus.

    • Posted by Vidya Meshram 4 years, 3 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 4 years, 3 months ago

     

    Diagonals of a rhombus bisect each other at right angles.

    Let ABCD be the rhombus, Diagonal AC= 16 cm and side AB = 10 cm.

    In right triangle AOB, AB = 10 cm, AO = 8 cm

    By Pythagoras theorem, AB2 = AO2 + BO2

    (10)2 = (8)2 + BO2

    BO2 = (10)2 – (8)2

    BO = 6 cm

    Diagonal BD = 2 x 6 = 12 cm
    Area of rhobus = 1/2 × product of the diagonal

    = 1/2 × 16× 12

    = 96 cm2

    Hence length of other diagonal = 12 cm; Area of rhombus = 96 cm2

    2Thank You

    ANSWER
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