tude be 1.6 dm. Find the altitude of parallelogram whose area is 2.25 m2 and I In fig. ABCD is a parallelogram CE 1 AB and BG 1 AD. (1) If AB = 16 cm, AD = 12 cm and CF = 10 cm, find BG. (ii) If AD = 10 cm, CF = 8 cm and BG = 12 cm, find AB
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whose area is 2.25 m2 and I In fig. ABCD is a parallelogram CE 1 AB and BG 1 AD. (1) If AB = 16 cm, AD = 12 cm and CF = 10 cm, find BG. (ii) If AD = 10 cm, CF = 8 cm and BG = 12 cm, find AB
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Given: AB = 16 cm, AE = 8 cm, CF = 10 cm
In parallelogram ABCD, CD = AB = 16 cm [Opposite sides of a parallelogram are equal]
We know that area of a parallelogram = Base × Corresponding altitude
Therefore, Area of a parallelogram ABCD = CD × AE = AD × CF
Here CD and AD act as the base and AE ⊥ CD, CF ⊥ AD are the corresponding altitudes.
∴ AD = (CD × AE) / CF
Substituting the values for CD, AE, and CF, we get AD = (16 × 8) /10 cm = 12.8 cm
Thus, the length of AD is 12.8 cm.
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