In Figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.
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Answer:
Given,
- AB = CD = 16 cm (Opposite sides of a ||gm are equal)
- CF = 10 cm and AE = 8 cm
Now,
Area of parallelogram = Base × Altitude
= CD × AE = AD × CF
⇒ 16 × 8 = AD × 10
⇒ AD = 128/10
⇒ AD = 12.8 cm
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In parallelogram ABCD, AD = 12.8 cm.
Solution:
Given: AE = 8cm
AB = 16 cm
CF = 10 cm
In a parallelogram ABCD, “CD = AB = 16 cm” (∵Opposite sides of parallelogram are equal)
The value of AD can be found by multiplying base by height.
Both base and height of parallelogram is perpendicular each other.
Area of parallelogram = b× h
Area of ABCD = AE× CD = AD× CF
=> 16×8 = AD × 10
= >128 = AD × 10
=> AD = 12.8 cm.
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