In the following figure, ABCD is a parallelogram.DLandperp;ABandAB =13cm = AD. If the area of parallelogram is156cm2, find AL.a)5cmb)6cmc)7cmd)8cmCorrect answer is option 'A'. Can you explain this answer?

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In the following figure, ABCD is a parallelogram. DL⊥AB and AB =13 cm = AD . If the area of parallelogram is 156 cm², find AL.

a)
5cm
b)
6cm
c)
7cm
d)
8cm

Correct answer is option 'A'. Can you explain this answer?

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In the following figure, ABCD is a parallelogram.DL⊥ABandAB =13cm...

We have, area =156 cm²
⇒ b×h = 156
AB×DL=156
DL = 156/AB =156/13 = 12cm
In right ΔADL, AD²=DL²+LA²
AL²=AD²−DL²=13²−12²= 25
∴ AL =

=5cm

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In the following figure, ABCD is a parallelogram.DL⊥ABandAB =13cm = AD. If the area of parallelogram is156cm2, find AL.a)5cmb)6cmc)7cmd)8cmCorrect answer is option 'A'. Can you explain this answer?

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