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Easy

Question

ABCD is a parallelogram, AL perpendicular CD and AM perpendicular BC
If  AB = 12cm, AD = 8cm and AL =6cm, find the measure of AM.

hintHint:

Given , ABCD is a parallelogram,
AL ⊥ CD and AM ⊥ BC. we find the area of parallelogram using
DC and BC bases and AL  and AM as height drawn to them respectively

The correct answer is: 9cm


    Ans :- 9 cm
    Explanation :-
    Given , ABCD is a parallelogram,
    AL ⊥ CD and AM ⊥ BC.
    AB = 12 cm, AD = 8 cm and AL = 6 cm,

    DC = AB = 12 cm ; BC = AD = 8 cm (opposite sides of parallelogram are equal)
    Area of parallelogram = Base × height
    Area of parallelogram using  base DC = Area of parallelogram using  base BC
    DC × AL = BC × AM
    12 × 6 =  8  × AM
    not stretchy rightwards double arrow A M equals 72 divided by 8 equals 9 cm
    Therefore, the length of AM = 9 cm

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