Math, asked by bvijaysingh, 1 year ago

ABCD is a parallelogram , AE is perpendicular to DC and CF is perpendicular to AD . if AB= 16cm , AE=8cm and CF= 10cm .find AD

Answers

Answered by vv1112004
4
Hope this helps you
It is given that it is parallelogram
Here there are two triangle
So, area of parallelogram =base x height
DC x AE = AD x CF
16 x 8 =AD x 10
16 x 8 = AD x 10
128= AD x 10
128/10 =AD.
12.8 =AD

Area of parallelogram = base x height
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Answered by ANGRY74
0

Question :-

In figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Answer :-

We have, AE ⊥ DC and AB = 16 cm

∵ AB = CD [Opposite sides of parallelogram]

∴ CD = 16 cm

Now, area of parallelogram ABCD = CD x AE

= (16 x 8) cm2 = 128 cm2 [∵ AE = 8 cm]

Since, CF ⊥ AD

∴ Area of parallelogram ABCD = AD x CF

⇒ AD x CF = 128 cm

⇒ AD x 10 cm = 128 cm2 [∵ CF= 10 cm]

⇒ AD = 128/10 cm = 12.8 cm 10

Thus, the required length of AD is 12.8 cm

Hope it helps ❤ Mrk as brainliest

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