Consider a parallelogram, ABCD. AE is perpendicular to DC and CF is pe

1.	Consider a parallelogram, ABCD. AE is perpendicular to DC and CF is perpendicular to AD. If AB = 16cm, AE = 8cm, and CF = 10cm, find AD.
Answer» ⠀⠀ıllıllı uoᴉʇnloS ıllıllı $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$ Given: Parallelogram ABCD PAE = 8cm AB = 16cm CF = 10cm In a parallelogram, we know that opposite sides are equal. Therefore, CD = AB = 16cm To find the value of AD, the base is multiplied with height. Area of parallelogram = b x H ➠16 x 8 = AD x 10 ➠ 128 = 10AD ➠ AD = 12.8cm $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

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

Answer»

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Given:

Parallelogram ABCD

PAE = 8cm

AB = 16cm

CF = 10cm

In a parallelogram, we know that opposite sides are equal.

Therefore, CD = AB = 16cm

To find the value of AD, the base is multiplied with height.

Area of parallelogram = b x H

➠16 x 8 = AD x 10

➠ 128 = 10AD

➠ AD = 12.8cm

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