Question

6. One side AB of a parallelogram is 9 cm and its
area is 54 cm2. DEL AB. If the second side of
the parallelogram is 10 cm, find AE.​

Answer 1

Step-by-step explanation:

Area of a parallelogram=Base×Height

So, Height=Area of parallelogram/Base

Therefore,

DE=54cm^2/AB

=(54/9)cm

=6cm

AD^2=DE^2+AE^2 (Pythagoras Theorem)

So, AE^2=AD^2-DE^2

=>AE=√(AD^2-DE^2)

=√(10^2-6^2)

=√[(10+6)(10-6)]

[a^2-b^2=(a+b)(a-b)]

=√[16×4]

=√64

=8cm

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