a right angle as an area 24 Sq m one of its perpendicular side as a lenth 6 m what is the length of the other side? plz answer t

a right angle as an area 24 Sq m one of its perpendicular side as a lenth 6 m what is the length of the other side? plz answer this question plz answer​

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  1. Answer:

    Step-by-step explanation:

    Let the length of one perpendicular be a cm.

    Then, the length of the other perpendicular =(a+6)cm

    Now, area of triangle =36 sq.cm

    2

    1

    ×a×(a+6)=36

    ⇒a

    2

    +6a=72

    ⇒a

    2

    +6a−72=0

    ⇒a

    2

    +12a−6a−72=0

    ⇒(a+12)(a−6)=0

    ⇒a=12 or a=6

    But length cannot be negative, hence a=6 cm

    Thus length of its perpendicular sides are, a=6 cm and a+6=12 cm.

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