In a right angle triangle the altitude is 4 cm long than the corresponding base. if the area of the triangle is 96 CM square the length of a

Question

In a right angle triangle the altitude is 4 cm long than the corresponding base. if the area of the triangle is 96 CM square the length of altitude and hypotenuse will be dash CMO and dash CMO respectively

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Lydia 7 months 2021-10-07T22:16:52+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-07T22:18:40+00:00

    Base of a triangle is 4 cm longer than its altitude.

    Area of triangle =48 cm

    2

    Let base of triangle =b

    Altitude =b−4

    Area =

    2

    1

    ×b×h=48

    2

    1

    ×b×(b−4)=48

    b

    2

    −4b−96=0

    (b−12)(b+8)=0

    But, base cannot be negative

    So, base =12 cm

    Altitude=12−4=8 cm.

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