Question

$\Huge{\color{green}{\fbox{\textsf{\textbf{Ⲫⳙⲉ⳽ⲧⲓⲟⲛ :-}}}}}$

In a parallelogram ABCD, AE is perpendicular to DC and CF is perpendicular to AD. If AB = 10 cm, AE = 6 cm and CF = 8 cm, then find AD.

$\large\sf\fbox\blue{Ʈɾყ~to~ɠɩʋᥱ~ ყoᥙɾ~oωᥒ~Aᥒ⳽ωᥱɾ }$

$\large\sf\fbox\red{ᙖᥱ~ᙖɾᥲɩᥒꙆყ }$
​

Answer 1

Answer:

Solution

verified

Verified by Toppr

In parallelogram ABCD, we have given AB=10cm, AE=8cm, and CF=12cm.

⇒ AB=DC=10cm [Opposite sides of parallelogram are equal]

⇒ Lets find out area of parallelogram with height AE and base DC.

⇒ Area of parallelogram ABCD=b×h

⇒ Area of parallelogram ABCD=DC×AE

⇒ 10×8

∴ Area of parallelogram ABCD=80cm

2

--- ( 1 )

⇒ Now, to find area of parallelogram let CF be the height and AD will be base.

⇒ Area of parallelogram ABCD=CF×AD

⇒ 80=12×AD [From ( 1 )]

⇒ AD=

12

80

∴ AD=6.66cm

Step-by-step explanation:

mark me as brainliest